{"text":"Question: What is the common denominator of 8\/461 and -39\/4?\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 11058 + 5?\nAnswer: 11064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of 170 and -55476001.3.\nAnswer: -55475831.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -51 - -28. Let y = d - -45. Suppose -33 = -m - 2*m. What is the greatest common factor of m and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of -i**4\/12 - i**3 - 15*i**2. What is m(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19875 = 12*b + 55245. Round b to the nearest one hundred.\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 166 + -170. Let y = 691 - 686. Sort c, 1.6, y in descending order.\nAnswer: y, 1.6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-528)\/14 + 14\/(-49). Let s = j - -25. Let p = s - -30. Does 17 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p + 39. Give l(7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 774.4475 millennia?\nAnswer: 77444.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the third derivative of -713*c**6\/15 - 905*c**4\/24 - 32*c**2 - 78*c. What is the second derivative of t(u) wrt u?\nAnswer: -34224*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-8)\/4)\/(-4)*(-7 + 6323). Suppose 33*i - 5389 = z. Is i a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25962 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -8, -0.5, 63 in decreasing order.\nAnswer: 63, -0.4, -0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1302 - -3474. What are the prime factors of h?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = m + 1. Let u(x) = -3*x - 4. Determine u(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 15438, 30884, 46330, 61776, 77222, 92668?\n\"Answer: 15446*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 3*b + 1. Suppose -1 - 17 = -f - 5*l, 5*l = 20. Let y be b\/(-68)*(f - -6). Is y bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l - 3. Let v be p(-8). Suppose 288 = h + 2*h. Let t be 6\/(-45) - h\/(-45). Solve t*i = i + v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.71 less than -3266640.7?\nAnswer: -3266649.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 414 + -443. Let l be 2 - (8 - b\/(-4)). Factor 3\/4*q**4 + 1\/2*q**2 + 0 + 0*q + l*q**3.\nAnswer: q**2*(q + 1)*(3*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 230*k**3 - 5665*k + 5665*k + (0 + 2*k + 0)*(2*k - 2*k - 2*k**2) - 3*k**2 + 3*k**2 - k**3 + 2*k - 2*k**3 - 2*k.\nAnswer: 223*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -124776571, -249553150, -374329729?\nAnswer: -499106308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -m, -2*s + 0*s = m - 9. Suppose -s*w - 21 = -25. Solve -3 = -3*a + w*b, 1 = -a + b + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 347.69 + -351.69. Sort -51, 5, o, 7 in decreasing order.\nAnswer: 7, 5, o, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*2\/(-3))\/(92\/(-396)*-11).\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11520 is divided by 71.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 13567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:26 PM and 4:50 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 22467247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 117336642 + -172836642. What is n rounded to the nearest one million?\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 223.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1239845 divided by 1\nAnswer: 1239845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30858 is divided by 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 15.73376ng?\nAnswer: 0.00000000000001573376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(2\/37))**(1\/77))**(-4\/3) assuming v is positive.\nAnswer: v**(-8\/8547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 35*d**2 - 5*d + 2. Let g be f(4). Let q = -2147\/4 + g. Do q and 5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 3*b + 9 = 0, -166*b + 170*b = q - 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35928183?\nAnswer: 3, 19, 630319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 55613979107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 38\/27 and -47\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 217040 is divided by 908.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1050 and 2695?\nAnswer: 80850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**2 + 2. Let s be m(0). Let h = 12 - 12. Suppose h = -t + 4. What is the nearest to 1\/4 in s, -2, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 216 = 10*q - 18*q. Is q equal to -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**34\/t)\/t*t\/(((t\/((t*t*t*t\/(t**(2\/9)\/t))\/t))\/t)\/t)*t)\/((t\/(t**(-11)*t)*t)\/t**(10\/3)) assuming t is positive.\nAnswer: t**(271\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 1991*y + 270. What is the thousands digit of u(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -165 + 17*p + 165.\nAnswer: 17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -94240, -376957, -848152, -1507825, -2355976?\n\"Answer: -94239*p**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 - 1\/(3\/(-234)). Let u be -1 + 0 + 10 + -1. Suppose 4*o + u = 48. Calculate the highest common divisor of o and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*o + 0*o - 19*o**5 - 4*o - 15*o**2 + 39*o**5 + o wrt o?\nAnswer: 1200*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-320)\/10)\/((-36)\/18)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4714*t**5 - 5*t**3 + 5990*t**5 - 582*t**2 + 5*t**3 + 0*t**3 wrt t.\nAnswer: 76560*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*b**5 - 2*b**2 + 2*b**2 + (4*b**3 - 2*b**3 + 0*b**3)*(-2 + 2 - 2*b**2) + 12 - 18 - 88*b**5 + 6.\nAnswer: -86*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -69071039\/85 + 812590. Let z = -52\/17 - b. Calculate the common denominator of 1\/3 - 8\/42 and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2760 = 156*l - 967 + 9387 + 14308 for l.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1396 + -56. Let q = 22 + -16. Suppose q*c - d = 2*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d - 4 = -4*r - 24 + 3, 147 = -3*d - 36*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 11*w. Let v(h) = 5 - 1 + 38*h - 4 + 10*h. Determine v(t(j)).\nAnswer: 528*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o**3\/11 + 3218*o**2\/11 - 117530*o - 1296050\/11 = 0.\nAnswer: -1, 805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 10*o**2. Let m(a) = -a**2 - 131*a + 4. Let k(l) = -3*l**2 - 267*l + 10. Let r(n) = -2*k(n) + 5*m(n). Determine r(c(h)).\nAnswer: 100*h**4 - 1210*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 9245 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8024 and 221?\nAnswer: 104312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*m**3*x**3 - m**3*x**2 + 982181*m**3*x + 46686*x**3 wrt x.\nAnswer: -30*m**3*x - 2*m**3 + 280116*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 3*l - 41. Let m(d) = d - 14. Determine -7*m(r) + 2*p(r).\nAnswer: -r + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/((-6)\/(-15) + 0). Let s be -8 + 1 - (3 - t). List the prime factors of 2\/(-2)*s + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -5, 3, 3305320 in decreasing order.\nAnswer: 3305320, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5523 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 3 x when four letters picked without replacement from wwwwwxwwwwwwxwwxxww?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1013 + 10200100?\nAnswer: 10201113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 - -9. Let z = 6 - n. Let f = 6 - z. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 11*m**3 + 7*m**2 + 11*m - 13. Let h(y) = 44*y**3 + 29*y**2 + 47*y - 60. Let n(l) = -2*h(l) + 9*q(l). What is n(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 73064 and 12640072.\nAnswer: 12640072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*t + 6 + 34 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*v**4 + 54*v**3 - v**2 + 59.\nAnswer: 48*v + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13007803.\nAnswer: 2069, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 61980647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:47 AM and 10:45 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - 0\/(-3)) + (-34350 - 1). Let t = 2507673\/73 + m. Calculate the common denominator of 8\/7 and t.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1372) + (-1 + -1 + sqrt(1372))**2 + sqrt(1372).\nAnswer: -28*sqrt(7) + 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 258 + -249. Is 11 a factor of (k\/(-48)*-28)\/(2\/88)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*d - 3*v - 33, -81*d + 77*d + 5*v = -82 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of (-37 + 31)\/(-3*1) + 625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -19, 20, 107, 236, 401, 596?\n\"Answer: -g**3 + 30*g**2 - 44*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.938 + 38.762. Let v = k - 39.6. What is the closest to v in -4, -3\/5, -8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 383293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3.14352 and -16.\nAnswer: -12.85648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6.2 + 6. Sort 5\/4, -1, t, 2\/5.\nAnswer: -1, t, 2\/5, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 14*g**2 - 57*g + 95. Calculate the remainder when 398 is divided by k(5).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 38.70521g?\nAnswer: 0.03870521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 9*f - 14. Let w be u(2). Let h(m) = -4*m**3 - 2*m + 3. Let a be h(2). Let j be 3*(a\/(-9) + -1). What is the highest common factor of j and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -120 - 2*c**2 + 0*c + 121*c - 71*c - c**2 - 2*c**2 = 0. What is c?\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*y**5 + 1530*y**4 + 48620*y**3 + 308600*y**2 - 465360*y + 106624 = 0. What is y?\nAnswer: -14, 2\/7, 1, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 19 in 16, -3\/5, 5, -2, -6\/11, -0.3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o**28*o**(6\/11) assuming o is positive.\nAnswer: o**(325\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4414 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (110 + 128 + 258)*((-2 + 3 + 0)*(-4*k + 6*k - k) + 3*k + 1 - 1 - k - 4 + 6 + 2*k) as s + i*k and give s.\nAnswer: 992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -2*a. Suppose -3*u - 7 = b, a = b - u - u - 8. Solve -5*v = -0*v + 4*d - 23, 0 = d - b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2*i**2. Let u(y) = 713*y - 1414*y + 705*y. Determine u(m(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5304 = 53*a - 14*a. Solve a = -8*o + 152 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*m - 32154 - 227046. Suppose -m = 38*j - 34*j. What is j rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 51629715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 2*l**3 - 40*l**2 + 35*l + 62. Let g be i(19). Solve -4*h = -24*p + 27*p + 25, -23 = 2*h + g*p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -15 smaller than -3950\/243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5746 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = 5*l - 13, 3*f - 61*l + 62*l + 4 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 - 6. Suppose -3*r - o - 10 = 4*i, -4*r - 16 = 2*i. Let b = r + 7. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + -16. Let h(z) = z + 5 + 19*z**2 - 8*z**2 - 8*z**2 - 11*z. Is h(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 4:25 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 356040.3 seconds in microseconds?\nAnswer: 356040300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18100, 37770, 57440, 77110, 96780, 116450?\nAnswer: 136120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9597\/(-3640) + 12\/26 and 133\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 4868.401ml?\nAnswer: 4.868401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 761367 is divided by 173.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 - 2*n + 23. Is l(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -3\/149, 88, -34?\nAnswer: -3\/149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 78 + -39. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*d - 15 + 4. Let p(t) = 10*t**3 + t**2. What is p(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2275, -4765, -7241, -9703, -12151, -14585?\n\"Answer: 7*v**2 - 2511*v + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 208 and 1326.\nAnswer: 10608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 12662547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3121373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5688100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(3993))\/(sqrt(33)\/((sqrt(55)\/sqrt(5) - sqrt(11)) + sqrt(11))).\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.63 + -3.37. Suppose 0 = -3*x - 38*x + 779. What is the second biggest value in -0.03, y, x?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(832) - (sqrt(832) + 1)*1 - (-4 + sqrt(832))*2) + 2 + -1*sqrt(832)*6 + 4*(-2 + sqrt(832)))**2.\nAnswer: -64*sqrt(13) + 13313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17.91 - -0.09. Let c = -13 + p. What is the nearest to -0.1 in -1\/2, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -22*l**2 - 22*l - 16. Let u(b) = -7*b**2 - 7*b - 5. Calculate 5*t(m) - 16*u(m).\nAnswer: 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-81)\/(-9)*(-2)\/(-9). Suppose -p*a + 495 = -179. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 972 and 494910.\nAnswer: 2969460","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let d = 4.59 - 1.33. Let o = -3.6 + d. Let z = o - -6.44. Round z to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 - 530*r**2 + 1682*r - 262. Calculate y(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 377, -732, -3807, -9832, -19791, -34668?\nAnswer: -55447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 305, -665, -4093, -11461, -24251, -43945, -72025?\n\"Answer: -247*k**3 + 253*k**2 + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + 12 - 13 - -44?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12640174?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**2 + 3*u - 2. Let g be w(2). Suppose -m + 2*n = -5, g = 3*m - 2*n + n - 15. Suppose m = 2*f - 25. What is the highest common divisor of f and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -21 + 36. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, 0.83, -21 in descending order.\nAnswer: 0.83, -2\/17, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -2*i + 18. Determine a(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 10\/9, 4\/9, -2.8 in decreasing order.\nAnswer: 10\/9, 4\/9, 0, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 0, -42 in descending order.\nAnswer: 0, -13, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 794\/(6 - 5) - -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -686352\/5 and -137269 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g**3 + 136845*g**2 - g - 136845 = 0. What is g?\nAnswer: -136845, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 5\/223?\nAnswer: 5\/223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, v: 1, j: 1, y: 3, b: 1, p: 3}. What is prob of sequence gj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 280\/(-48)*180\/280.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 444.3496 * 0.4.\nAnswer: 177.73984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18570793 and 81368?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(13) + -2 + -5))**2 + 0 + sqrt(52) + (sqrt(13) - sqrt(39)\/sqrt(12)) + sqrt(13).\nAnswer: -105*sqrt(13)\/2 + 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -8*(-3)\/48*(-143)\/(-572)*-2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -79773 by 7.\nAnswer: -79773\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m - 141 - 44. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7957 + 23881\/3. Let x(a) be the second derivative of -27*a + 0 - a**5 + k*a**3 + 5\/4*a**4 - 10*a**2 + 1\/6*a**6. Factor x(c).\nAnswer: 5*(c - 2)**2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 7\/(-21) + 537\/(-9). Let n be (d\/16 - -3)*-8. What is the third derivative of n*w**3 - 10*w**5 - 6*w**3 + w**5 + 7*w**2 wrt w?\nAnswer: -540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 389758, 390221, 390696, 391189, 391706, 392253, 392836?\n\"Answer: h**3 + 456*h + 389301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**2 - 4*j - 10. Let c be y(6). What is the second derivative of -447 + 447 - c*p**3 + 12*p wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 467802 - 467803.732223. Let d = v - -1.733. Round d to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1300\/3825 - (-6)\/(-27))\/1 - (-182)\/(-1836).\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -23228.18 to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -24 - -33. Let a = 1 + x. Let t(m) = -m**2 + 10*m + 2. What is the smallest common multiple of 14 and t(a)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1723*a**3 - 987*a**3 - 2277*a**3 + 1082*a**3.\nAnswer: -3905*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 249 and 437904?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 35*a**3 + 13*a**2 - 16*a - 8. Let o(j) = -70*j**3 - 24*j**2 + 30*j + 14. What is 6*o(g) + 11*y(g)?\nAnswer: -35*g**3 - g**2 + 4*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 676 + -672. Find y such that 7*y**3 + 1 + 1\/2*y - 27\/2*y**2 + 20*y**g = 0.\nAnswer: -1, -1\/4, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.06 * 4450.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5796 = 1178*t - 1182*t. Is t a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/112 + 13\/(273\/(-12)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**2 + v - 7. Let k(b) = -2*b**2 - b + 8. Let w(o) = -2*k(o) - 3*y(o). Suppose 0 = -q + 2*q. Give w(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 12, m: 3}. Give prob of sequence nnnn.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 101 + -10330?\nAnswer: -10224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 640 + 131623?\nAnswer: 132463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -378, -383, -388, -393, -398, -403?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -4\/3*v**2 - 1444\/3 - 152\/3*v = 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2496, -11 in increasing order.\nAnswer: -11, 3, 2496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3404 - 2110 = 204*l - 7886 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -289 = 8*s - 51*s + 399. Solve -7*u - 5 = s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**14)**(-4\/11) assuming s is positive.\nAnswer: s**(-56\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1622, -1549, -1462, -1355, -1222, -1057, -854?\n\"Answer: k**3 + k**2 + 63*k - 1687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15 and 1095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1032.2 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the third derivative of b**6\/24 + 25*b**5\/6 - 815*b**4\/24 - 530*b**3\/3 + b**2 - 312*b. Factor h(t).\nAnswer: 5*(t - 4)*(t + 1)*(t + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.01 + 0.01. Does c = -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -167 - -475?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 31*z**2 - 31*z - 14. Let i(p) = 65*p**2 - 68*p - 29. Calculate -6*i(a) + 13*y(a).\nAnswer: 13*a**2 + 5*a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/6 and -17\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -233222229, 3 in decreasing order.\nAnswer: 4, 3, -233222229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**3 - 6*a**2 + 5*a + 2. Let p be q(5). Suppose 0 = -p*y - 2*y + 2*y. Factor -1\/2*o**3 + 0*o + 1\/2*o**4 + y*o**2 + 0.\nAnswer: o**3*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12110 (base 3) in base 12?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4404335 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0\/(-1))\/(-1 + (-2 - -5)). Suppose a = b, -5*f + 940 = -0*b - 3*b. What are the prime factors of f?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 87830.42 seconds?\nAnswer: 87830420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -h**5 - 485*h**4 - 3032*h**2 wrt h?\nAnswer: -60*h**2 - 11640*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 37343093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 14) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.473 and 580?\nAnswer: -274.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1100011110010000110 (base 2) to base 8.\nAnswer: 1436206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 625\/(-30) + (3\/(-18))\/1. Let j = 208 + w. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 4*f + 22 = 0, 2*f + 5 = -5*c - 23. Let h(w) = w - 1. Let t(m) = 4*m - 3. Suppose 2*g - 4 = -2*q + 10, -11 = -3*g - q. Calculate c*h(z) + g*t(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -16*o**2. Let n(a) = -29303*a. What is n(i(y))?\nAnswer: 468848*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 201d - b7?\nAnswer: 1e56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 90002467 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 60294768 to the power of 1\/3, to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 616 - 3068\/5. Factor -l*x**2 + 6\/5*x**5 + 24\/5*x**3 + 0 + 2\/5*x - 4*x**4.\nAnswer: 2*x*(x - 1)**3*(3*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes before 12:46 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 112*d - 77*d = -2108, 0*i - 2*d = -4*i - 17 + 129 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b - 1. Let u be 12 - (32\/18 - 2\/(-9)). Let h = 15 - u. Let k(v) = 22*v. Let f(l) = h*o(l) + k(l). What is the first derivative of f(x) wrt x?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-1\/3))**(10\/11))**(1\/6) assuming x is positive.\nAnswer: x**(-5\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 0.06  (b) -0.2  (c) -0.0289  (d) 1  (e) -550  (f) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 154 and 118538.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4597799 or -4597798?\nAnswer: -4597798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*r**2 + 0*r**2 - 4*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 26 - 24. Suppose -3*d + 7 = z*g - 0*g, 5*g - 14 = -4*d. Solve 0*m + g*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 5*b - 95 = 0, 4*b + 1 = -3. Suppose r*v - 16 = 38. Solve 13 = -v*n - 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -2*y, 0*y - 1 = -r - 2*y. Does 3 divide (-112)\/(-21) + r\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -89*d + 2122 + 9329 - 1371 = 23*d for d.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -2*h - 147. Let p = 69 - h. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g - 8. Let b be o(8). Suppose -5*s - 5 - 1 = -3*y, y + 2*s - 2 = b. Let 2\/3*k - 2\/3*k**y + 0 = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/5029405 or 1?\nAnswer: -4\/5029405","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Is 122574407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12 - 18*l**3 - 6 + 10 + 16*l - 19*l - l**2 to the form b*l**3 + s + y*l**2 + d*l and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3614 smaller than 4064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 2*n. Let b(u) = -234693*u. Give c(b(q)).\nAnswer: -469386*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes before 8:24 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -2b3 (base 13) to base 12\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -9455*r**3 - 28*r**2 + 4*r. Let q(n) = 6303*n**3 + 20*n**2 - 3*n. Calculate -5*g(k) - 7*q(k).\nAnswer: 3154*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0163 * 188.\nAnswer: -3.0644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12740, 11900, 11058, 10214, 9368, 8520?\nAnswer: 7670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 0.3  (b) 10  (c) 4\/7  (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9\/5 or 1\/3642?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Expand 2*t + t**3 - 2*t + 3*t**2 - t**3 - 3*t**2 + (-4*t - t + 3*t)*(2*t**2 + 3*t - 3*t) - 4*t**3 - t**3 + 0*t**3 - 3*t**3 + 0*t**3 + 4*t**3 - t - 5*t**3 + t.\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < -359\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/1 - 37\/13*-1. Sort -0.1, i, 0.08.\nAnswer: i, -0.1, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100111000010001000 (base 2) in base 5?\nAnswer: -20104010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1167842139 - 350642139 = 16*c. Let o be (3\/((-18)\/(-8)))\/(15\/c). What is o rounded to the nearest 100000?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5717230*g*x + 1150*g + 187 wrt x.\nAnswer: 5717230*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (34256\/12)\/(-11*72\/(-10098))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 x, 1 n, and 1 f when four letters picked without replacement from stwwxnf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 2 = -6*b, -171 = -b + 5*x - 204. Let j(q) = -6*q**3 - 2*q**2 - 2*q - 1. Let z be j(-1). Let m = 52 - 31. Put m, b, z in ascending order.\nAnswer: b, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uafa when four letters picked without replacement from nxafunag.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - -3. Suppose -4*x + u*x = 0. Solve 2*p - 24 = 5*c, c = -x*c - p - 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k - 7. What is m(18)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**2 + 8*r - 13. Let z(d) = -d - 4. Let i be z(6). Let q be a(i). Let h = q - 8. Is 11 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 13 - 1. Let v(r) = -y*r - r - r. Let x(q) = -3*q**2 - 5*q + 5. Let b(n) = 5*n**2 + 8*n - 8. Let d(p) = -5*b(p) - 8*x(p). Give d(v(t)).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1211637059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11 - 9*t**2 - t**3 + 9 + 9*t**2 to d*t**2 + w*t**3 + y*t + q and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f + 5*f + 4*q - 52, -25 = -f - 5*q. Let o = -16 + f. What is the tens digit of (-116)\/o*(-9)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 - -4. Let y = -87.7 + 88. Which is the closest to -1?  (a) y  (b) 1  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a**2 - 2*a**2 + 1101*a + a**2 + 0*a**2 + 2*a**2.\nAnswer: 3*a**2 + 1101*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/1548 and -89\/1376.\nAnswer: 12384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 3*w + 180 = 0, 3*w - 146 = -3*z - 8. Suppose 2*u + 8 = z. Let r = u - -18. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 117*z**2 + 2 - 73*z**2 - 69*z**2 - 18*z.\nAnswer: -25*z**2 - 18*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*r + 20 = -12. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e and 1 b when four letters picked without replacement from {e: 3, s: 9, b: 4}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -749*c + 17226 = -111*c for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 28*q - 41*q + 9*q + 2*q + 59*q**2 - 7*q**3 to the form v*q**2 + u*q**3 + k + b*q and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6014 is divided by 1992?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 60 - 24. Let t(z) be the first derivative of z**4\/4 + 2*z**3 + z**2 - 3*z - 1. Let i be t(-5). What is the highest common factor of c and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*v = -36*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -8b0 (base 14) in base 11?\nAnswer: -1326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -223052 (base 10) to base 2.\nAnswer: -110110011101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a = -4*h - 4*a + 308, 3*h + 2*a = 236. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 839293, -4, 5, 18, -2 in descending order.\nAnswer: 839293, 18, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 807*j = -805*j + 4, 0 = j - 6 + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-3)\/(a*a*(a**(-29)*a)\/a)*a**(-20\/9)\/a**(-11) assuming a is positive.\nAnswer: a**(295\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9508056 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**2 + 6*a - 1. Let l(g) = 8*g**2 + 4*g + 7. Calculate -4*j(t) - l(t).\nAnswer: -4*t**2 - 28*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * 0.447071\nAnswer: -0.2235355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 925297*g**3 - 67597085*g**2.\nAnswer: 5551782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 48.69 and 0.3.\nAnswer: 14.607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of l**5\/60 + 3*l**2\/2 - 37. Let p(k) be the second derivative of f(k). Let q(a) = 3*a**2 + 10. Determine p(q(i)).\nAnswer: 9*i**4 + 60*i**2 + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1424*p**2*v**3 + 152*p**2*v - 11*p*v**3 - 6*p*v - 2*p wrt v?\nAnswer: 8544*p**2*v - 66*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2567399681 a multiple of 3425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*t + 29*t = 6 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8027002 is divided by 573356.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -19*t**3 + t**2 + t. Suppose -2*z - 6*r + 21 = -r, z = 5*r - 27. What is the tens digit of l(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 29 - 8. Suppose x = m - 34. Suppose 3*r + 251 = 5*k - 0*r, m = k - 3*r. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -553*a - 706 + 18955 = 0 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -105 or -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 39 divided by 144184\nAnswer: 39\/144184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -171 - -169. Let w(s) = -s**2 - s + 1. Let p(l) = -4*l**2 - 3*l + 9. Let f(i) = p(i) - 6*w(i). Let b(v) = v**2 + 2*v + 2. Determine q*f(g) + 3*b(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 26250477 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 - -8)\/(0 + 1). Suppose 0 = 3*u - 5*i + 1460, k = -3*i - 6. List the prime factors of (2\/6)\/((-5)\/u).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y - 1 - 14. Let x be (y + 1)*(-3)\/(-2). Let p = -1 - x. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x - 4 - 4. Let s(u) = -u**3 + 4*u**2 + u - 1. Let a be s(x). Is 35*(-2)\/(-6)*a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 47499455?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 3*p = -4, p + 7 = 3*x + 1. Let s(y) = -y**x - 1 + y + 31*y**3 + 3*y**2 - 32*y**3. Let h be s(2). Do 1\/4 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -121.2 - -122. Let x = g + -0.799935. Round x to 6 dps.\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, u: 1, w: 1, i: 3, q: 1}. What is prob of picking 1 w and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.799836 rounded to two dps?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 + 8 + 0 + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6501296 is divided by 175.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.36?  (a) -2  (b) 5  (c) -0.6  (d) 0.05  (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 216417 + 153.3.\nAnswer: 216570.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**2\/t**(-5)*((t*t*(t\/(t\/(t*(t**0\/t)\/t)))\/t)\/t)\/(t\/t**(-1\/11)))\/(((t*t**(-2)*t)\/(t\/t**(-2\/15)))\/(t\/t**2*t*t**1\/t)) assuming t is positive.\nAnswer: t**(997\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4 - -11) + (3 - 10). Let k(n) = -17*n + 470. What are the prime factors of k(w)?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 2*g = -60. Calculate the remainder when 117 is divided by g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6601 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6821\/78 + -175\/2. Are 1 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, -5, 19, 3 in descending order.\nAnswer: 19, 3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 9*u - 3*u - 37 = 0, -2*q + 32 = 5*u. Solve 3 = j + n, -q = -3*n + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.16  (b) 0  (c) 3\/4  (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p. Let z(m) = 2*m**2 - 2. Let g(n) = -6*n**2 + 7. Let k(b) = -6*g(b) - 21*z(b). Determine r(k(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81145.\nAnswer: 5, 16229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(21) - ((sqrt(63)*-1)\/sqrt(3) - sqrt(21)) - sqrt(21)) + sqrt(21))\/(sqrt(9)\/sqrt(12)) + ((sqrt(49)\/sqrt(7) + sqrt(7))*-3 - -1*-3*sqrt(7)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13005 - -13004.56901. Round o to three dps.\nAnswer: -0.431","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 293 divide 767953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -48 - -50. Suppose 4*n - 142 - 30 = t*r, -2*n + 98 = 2*r. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d + l - 150, 4*d - 74*l = -77*l + 602. Calculate the smallest common multiple of d and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2 - 299*l + 19900.\nAnswer: (l - 199)*(l - 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 + -1 + 2 + 96\/3. Let b = a + -32. Suppose r = -b*r + 3. Solve -2*k - r = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 215850497 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 44538220 to the nearest integer?\nAnswer: 6674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*p + 18*p + 10*p - 14*p + 8*p.\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 5 = 0, -2*i + 4*k = -399 + 413 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - 2.3. Let p = i - -0.4. Let l = 36923 + -332305\/9. Which is the third biggest value?  (a) p  (b) 1  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*p + 1 - 3 - 401*p**2 + 1431*p**2.\nAnswer: 1030*p**2 + 36*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 AM and 3:48 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 114.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 160755 and 840.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(8 - 9)*(-5)\/(-4)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3836624 divided by -21799?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -5*w**3 + 4*w**2 - 2*w - 12. What are the prime factors of z(-3)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -266017 at least -266017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*a*i**2 + 4808*a*i + 823527*a - 4*i**2 with respect to i.\nAnswer: 4*a*i + 4808*a - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/61  (b) 0.2  (c) 6\/5  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3107, -6183, -9253, -12317, -15375?\nAnswer: -18427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 1)*(-9*v + 0*v + 10*v) + (3*v - 15*v + 6*v)*(15 - 1 + 9).\nAnswer: -136*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2457*g**2 + 2*g - 6*g + 4*g.\nAnswer: 2457*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -6*i - 112. Let l(x) = 8*x + 140. Let a(z) = -5*d(z) - 4*l(z). Let u(o) = -6*o**2 - 237. Give u(a(h)).\nAnswer: -24*h**2 - 237","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4845*q**2 - 47561*q wrt q?\nAnswer: 9690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 1)*(9 + 16 - 14)*(0 + 2 - 4)*(b - 3*b + 0*b).\nAnswer: 44*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from jivvzzjvvj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -57 + 57.99. Let f = x - 1.99. Put 3, f, -4\/7, 8 in ascending order.\nAnswer: f, -4\/7, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q**3 - 9920*q**2 + 9919*q**2 - 17*q**3 + 20)*(2*q**2 + 2*q**2 - 2*q**2).\nAnswer: -38*q**5 - 2*q**4 + 40*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20 and 113966?\nAnswer: 1139660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of -f**6\/120 + f**5\/15 + f**4\/3 - 5*f**3\/6 - 18*f**2. Give s(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22931172 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*(b\/(b\/(b\/b**(-1\/2)*b)))\/b*b)**12)**(-3\/41)\/((b*b**(-1))\/(b*b**(5\/4))*(b*b*b*b**(-2\/3)*b*b*b)\/(b\/b**(-4\/5))) assuming b is positive.\nAnswer: b**(-10717\/2460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 1.4934864 months?\nAnswer: 0.001244572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 248.6772 + -248. Round g to two decimal places.\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = p - 239, p = -r + 2*p + 61. Suppose r = 4*n + n. Solve -4*i - 3*q - 14 = 0, 2*i + n = -0*i - 4*q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 2*k**2 - 4*k + 2. Let t be c(3). Let m(a) = -a + 10. Let x be m(t). Let w be (-15)\/6 + x - -2. Sort w, -3\/8, -1\/7 in decreasing order.\nAnswer: w, -1\/7, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 4 + -11 + 11 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.5 - -0.5. Let j be -9*2\/(-8) + -1. Let x = 43444 - 43439. Which is the closest to 3\/5?  (a) y  (b) x  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 103652.6 years to months.\nAnswer: 1243831.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 290 is divided by 51.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 94793*j**2 + 200756*j**2 + 42421*j**2.\nAnswer: 337970*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 39 + 9. Let c = -5 - v. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 175*q + 5 = 174*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -y - 2*y + 2*y + (3 + 2*y - 3)*(0 + 2 - 4)*(-2811 + 6014 - 2898).\nAnswer: -1221*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 3453008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*d = 4*q - 13*d - 8, -10435*q + 10477*q + 36 = d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -8, -0.29, -0.6, 2, -4\/23?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 26 = t, 0 = 5*j - 374*t + 379*t - 50 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -41532 or -41438?\nAnswer: -41532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -663 - -1334. What are the prime factors of s?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**3 - 59*g**2 + 599*g - 14. Let p be n(13). Sort -2, -26, p, 4.\nAnswer: -26, -2, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, a: 9, o: 8, r: 2}. Give prob of sequence arr.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 273*t - 278*t + 317*t. What is the tens digit of j(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 104929?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3006 + -3022. Let y(q) = -180*q**2. Let s(k) = -36*k**2. What is i*s(n) + 3*y(n)?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-24)\/(-42) + (360\/(-14))\/(-4). Suppose -t*a - 5 - 9 = 0. What is the hundreds digit of (a - 213*-1) + (-3 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the second derivative of 2*c**4\/3 - c**2 + c. Let t be ((-1518)\/(-2783))\/(-1*6\/(-22)). Calculate j(t).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14.88 - -14.24. Let j = -0.09 - 0.05. Let p = g - j. Which is the closest to 0.5?  (a) -2\/11  (b) p  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 154776623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does -2494\/9 = -278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8.08 + 7.28. Put 3\/4, v, -2, -0.09 in decreasing order.\nAnswer: 3\/4, -0.09, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -5*t + 10. Let a be (-14)\/(-2) - (34 - 40). Give k(a).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 + 17. Let h(m) be the second derivative of 1\/2*m**t + 0 + 1\/6*m**3 + 2*m. What is the derivative of h(i) wrt i?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57204.36 millilitres in litres?\nAnswer: 57.20436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 160, 320, 472, 610, 728?\nAnswer: 820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 - 1419?\nAnswer: -1416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10472 + 5508 + 6286 + 10399 + 1144)*(0*z**5 + 5*z**5 - 4*z**5).\nAnswer: 33809*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + 981*l**2 + 450*l**2 - 107066695 + 107066700)*(-2*l**2 - 3*l + 3*l).\nAnswer: -2862*l**4 + 2*l**3 - 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 4*y - 400, -3*r - y + 199 = -101. What is the greatest common divisor of r and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((-268)\/(-12))\/((-11)\/(-1881))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4258 times 0.1\nAnswer: -425.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 29532 (base 10) to base 6\nAnswer: 344420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -419, -5, 4 in descending order.\nAnswer: 4, -5, -419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:17 PM and 11:46 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 379, 757, 1135?\nAnswer: 1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -724 - -1?\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -11 + -5 + (-21)\/(-28)*8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**3 - 6*b**2 + 10*b**2 + 4*b**2)*(-3 + 3 + 3*b).\nAnswer: -3*b**4 + 24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 9*f = -10*f + 421, -4*f - 848 = -2*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27, 44, 73, 114, 167, 232?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9038 - 6799 = -176*r + 5407 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 479 times -0.03?\nAnswer: -14.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -23 - (9 - 15 - 20)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 42*36\/384 + (-1)\/(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -3*i**2 + 3*i - 1. Let t(f) = 1537 + 13*f - 1541 + 38*f**2 - 50*f**2. Calculate 18*s(q) - 4*t(q).\nAnswer: -6*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 180\/(-56)*(4\/5)\/(0 - (-3 + 5))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 take away 7.32?\nAnswer: -7.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 128011087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -4*r - 3*c, 13*r - 5*c = 15*r - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/27?  (a) -25048.7  (b) 2\/9  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 5351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((15\/((-180)\/8))\/((-10)\/(-145)))?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 890 + -1464. Let p be s\/(-42) + (-4)\/6. Which is smaller: 14 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 - 3*b**2 - 3*b + 4. Let w(o) = -o**3 - o**2 + 1. Calculate -2*p(u) + 6*w(u).\nAnswer: -4*u**3 + 6*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61720.\nAnswer: 2, 5, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -1  (b) 34  (c) -8  (d) -4  (e) 195\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -b7 + -123aa8?\nAnswer: -123ba3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -57.23 - -5.13. Round z to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k + 6, 4*i + 2*k - 268 = -782. Let d = 128 + i. Which is the third biggest value?  (a) 4  (b) 1\/3  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(6)\/sqrt(3) + -4)**2.\nAnswer: 2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 62*p**3 - 12*p**2 + 20*p. Let v be h(10). What is v rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 3*c. Let s(q) = -q**3 - 21*q**2 - 42*q - 73. Let b be s(-19). Let j(o) = -19 + 0 + 3 - b*o**2. Give w(j(p)).\nAnswer: -9*p**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 278357003.\nAnswer: 278357003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 518 = -2*d - 5*q, 3*d - q = -398. Let s be d\/(-8)*6\/(-3). Let n = -27 - s. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes before 1:03 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67840 + 4430 = 530*t + 1879*t for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43 = -7*h + 48. Suppose 2*z = 15 + 11. Let g be -4*(-1)\/2 + z. Solve 4*a + 4 = -w - g, 3*w = -a - h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the first derivative of -103*f**3\/3 - 22*f**2 - 175. Find the second derivative of x(i) wrt i.\nAnswer: -206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -100766.\nAnswer: -3\/100766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/17446400 and 41\/9280.\nAnswer: 17446400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.06 + -0.16. Let r = 5 - 3. Let k = -0.2 - 0. Which is the nearest to -1\/4?  (a) r  (b) s  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 + -112201?\nAnswer: -112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**1\/c)\/(c*c**(-7)*c)*c**(-2\/3)*c\/c**(-2\/25) assuming c is positive.\nAnswer: c**(406\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 2057 - 661 = 0. Let p be (2\/(-1))\/m*-2. Let b = -688\/1745 + p. What is the third smallest value in b, 4, 1\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 2*w. Suppose 5*y + 25 - 5 = w, 0 = 5*f - 5*y + 70. Let c = 44 + f. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) 0  (c) 62  (d) 0.69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -29*t**5 + 51850*t**4 + 2*t**3 + 4239575*t**2?\nAnswer: -1740*t**2 + 1244400*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:50 PM and 11:30 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, w: 4}. What is prob of picking 1 f and 1 w?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 214c4d (base 15) to base 8.\nAnswer: 6030760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 32333808?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 45*h**3 - 14*h - 11. Let o(i) = -30*i**3 + 9*i + 7. Determine 5*b(z) + 8*o(z).\nAnswer: -15*z**3 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 486 a factor of 390086442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(56))\/sqrt(2) + sqrt(28))\/(sqrt(4) - 3*(sqrt(36) + sqrt(4))).\nAnswer: -3*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*a**2*q**3*r - 728*a**2*q**3 + a**2*r**2 + 3*a*q**3*r - a*q**2*r**2 - 563*q**3 wrt a?\nAnswer: -4*q**3*r - 1456*q**3 + 2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1827 + 1819. Let d(u) = -9*u - 48. Determine d(f).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 4 = 5*b - 59, -b = -4*m - 26. Let o be 12\/7 - (-4)\/b. What is the units digit of o + (-1)\/(-1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**5\/2 - 4*h**4 + h**3 + 16*h**2 + 21*h\/2.\nAnswer: h*(h - 7)*(h - 3)*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1000000110111111101 (base 2) to base 3.\nAnswer: 111111111200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 150*v**3 - 2*v**4 - 14*v**2 + 2*v - 1 - 150*v**3 as d*v**3 + r + b*v**2 + a*v**4 + w*v and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes after 7:09 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3287 is divided by 137.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22 - -11002010201?\nAnswer: 11002010102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 42 + ((-8)\/4)\/1. Let r = -21 + b. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k = 1 + 5 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 2*g - 121 = 3*g, 4*u + 4*g = 156. Let c be 2\/5 + 64\/u. What is the greatest common divisor of c and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -4, 1 in decreasing order.\nAnswer: 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = -w - 11, 0 = 15*w - 10*w + 5*x - 35 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -6*l**3 - 26*l**2 - 71*l - 252. What is g(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**3 + 5*x**2 - 3*x - 1. Let p be (126 + 14)*(-3 + (1 - 2)). Let c = -557 - p. Calculate r(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 0.9837718483\nAnswer: 0.0162281517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -14, -14, 0, 34, 94, 186, 316, 490?\n\"Answer: s**3 + s**2 - 10*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - 3096416?\nAnswer: -3096417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 - 11. Let p = -5 - o. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -108 or -328\/3?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - 2 - (4 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -129\/2432 - 112363\/51072. Let u = a - 10\/57. Calculate the common denominator of u and 6\/(-1*(-32)\/50).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 926 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**2 + 18*c + 5. Let f be t(18). Suppose -5*p = -3*i - 9, -2*p - 5 = -5*i - 1. Solve 4*b - 14 = -2, -4*o - p*b = -f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 92*c + 2673. Let z be b(-29). Solve -5*w + 9 = h, 4*w - 21 = -z*h + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 20*l - 22. Let u = -629 - -641. What are the prime factors of x(u)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/9*-3*1. Is 4\/3 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3294)\/488)\/((-6)\/(-24)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1055 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 587 + -1?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.127355cm in meters?\nAnswer: 0.08127355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 324 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3280111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, 3, 2.3, -0.3 in ascending order.\nAnswer: -2\/5, -0.3, 2.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 530 is divided by 62.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 612 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (9 + -7 + -6 - 14 - -16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 + 0\/1 + 3. Suppose l*b = -20, -4*b - b + 90 = 2*d. Suppose -3*g = 2*g - 40. What is the least common multiple of d and g?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 125093251794 + -125093755108.10011. Let q = u - -503322. Let j = 7.9 - q. Round j to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 + (15\/(-9))\/1. Let q = 83 - 47. Let t = q + -35. Which is the closest to -0.01?  (a) 4  (b) t  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 31 + -6. Suppose -g = 5*l + 5*i, 3*l + 8 = -5*i - 5. Let t(p) = -p**2 - 5*p - 7. Calculate t(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 - 2*s**2 + 2*s + 1. Let t = -4 - -8. Suppose 5*a = t*a + 3. Let l be n(a). Solve -2*q - l = -2*m - 2*m, 2*m = -4*q - 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 40749 and 5202?\nAnswer: 244494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -122*-6.\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/13  (b) 4\/6929  (c) -0.4  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 15\/10*(-16)\/6. Sort c, -3, -2 in ascending order.\nAnswer: c, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/12871 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 9) to base 12\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 50.143 times -734\nAnswer: -36804.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0820343 rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-1)*y*y**(2\/11)*y assuming y is positive.\nAnswer: y**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 9 = 2*a - 19, 0 = -3*a + w + 44. What is the remainder when a is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1518 = -20*h - h - 45*h for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**2 - 11*r + 32. Let z be y(7). Solve -c = d + d + 8, 0 = -z*d - 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s + 5*s**2 - 5*s + 1 + 2*s. Let u = -15 - -16. Let p be w(u). Which is the closest to 2?  (a) p  (b) 0.3  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 26.6 - 13.5. Let n = -11.1 + k. Let i be (1 + 0)\/((-3)\/15). Which is the second smallest value?  (a) i  (b) 3  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31\/9 less than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7901278um to kilometers.\nAnswer: 0.0000000007901278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -38 - -23. Let s be (6\/(-45))\/((-5)\/w). Is s bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -112110200 (base 3) in base 11?\nAnswer: -7a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 AM and 11:30 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -4\/295, 5, 0 in descending order.\nAnswer: 5, 0, -4\/295, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 2 = 8. Let i be -1*0\/(-4 + 2). Suppose i = w + 32 - 58. What is the remainder when w is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c - 1. Suppose n + 1 + 0 = -5*d, -4*d + 3*n + 3 = 0. Let h be q(d). Sort h, -2, 0.5 in descending order.\nAnswer: 0.5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5931624221296 - -0.7.\nAnswer: 1.2931624221296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 3*c - 14 = 5*z, c - 22 = 4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -3657 * -2\nAnswer: 7314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -218947360 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*k - 29*k = 31*k - 135. What is the nearest to -5\/6 in -4, -1\/10, -4\/9, k?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 50166635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 121\/30 and 33\/544831.\nAnswer: 16344930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -30.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 + 3*a**2 - 4*a + 1. Let y be ((-6)\/15)\/((-1)\/5). Does 10 divide h(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 193\/23 + -37695\/4462. Let l = k - 4408\/97. Calculate the common denominator of l and -83\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53522349.\nAnswer: 3, 397, 44939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**2 + 24*l + 108. Determine u(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes after 5:31 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -8929 from 8.\nAnswer: 8937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2. Let v(x) = 8*x - 35602. Calculate v(f(n)).\nAnswer: -8*n**2 - 35602","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i**5 + 3*i**5 - i**5 + (0*i - 3*i + 4*i)*(i**3 - i**3 + 2*i**4) - i**5 + 4*i**5 + i**4 - 5*i**5.\nAnswer: i**5 + i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-5))\/2*15*8\/16.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*n = 38*n. Suppose n = y + 1 + 1, -3*a + 67 = -2*y. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 7736728 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 825 minus -3674?\nAnswer: 4499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2626121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 194, -6, -1\/3683 in descending order.\nAnswer: 194, -1\/3683, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 52833 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 33420975 and 525?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 40\/90*269 - 4\/(-9). Solve -115*t - 25 = -q*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the third derivative of 0*k**5 - k**2 + 2\/3*k**4 - 1\/720*k**6 + 0*k + 0*k**3 + 0. Let p(b) be the second derivative of i(b). What is p(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9950505 or -9950504?\nAnswer: -9950504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 123, 128, 133, 138, 143?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40\/16*-1)\/(645\/86*(-1)\/10)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**3 + 6*w**2 + 2*w - 4. Let a be c(-5). What is the units digit of (1 - -1)*a\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 - c)*(197*c**2 - 766*c**2 + 1715 - 1714) in the form i*c**2 + z*c**3 + w*c + f and give z.\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20 + -13. Suppose -y*t + 11*t - 40 = 0. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1894, -1869, -1846, -1825, -1806?\n\"Answer: -o**2 + 28*o - 1921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1358, -2672, -3916, -5066, -6098, -6988, -7712?\nAnswer: -8246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -a + 7, -2*g + 7*g - 59 = a. Suppose 4*i - 2195 = -3*u, 8*i + 4*u + 1665 = g*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) -12  (c) -2267  (d) -8  (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -2*h - 2. Suppose -33 = 14*v - 5. Determine g(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 34*k**2. Let s be (-3 + 2 + 2)\/(2\/22). Suppose 2 = s*x - 10*x. Let r(t) = 2*t**x + 169 - 169. Determine r(z(o)).\nAnswer: 2312*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**2 - 30*n - 87. Give s(33).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**9*o**(-1\/16))\/((o\/o**(1\/4))\/o**(-10)) assuming o is positive.\nAnswer: o**(-301\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.026 + -1.974. Let w = 38.37 + -38. Let d = -0.17 + w. Which is the biggest value?  (a) d  (b) -3  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1245963*d*z**4 - 2947021*d*z**2 - 2*z**3 wrt z.\nAnswer: 29903112*d*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 179475061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 2*v**2 + 2*v + 1031 - 3*v**2 - 2060 + 1034. Let p(a) = a + 1. Suppose g = 2*g - 2. Suppose 5 = -g*m + 11. Calculate m*p(n) - i(n).\nAnswer: n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 17.1792 litres?\nAnswer: 17179.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**2 - 48513156*o + 196127192090028.\nAnswer: 3*(o - 8085526)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 29*y + 10*y + 2 - 4*y - 76*y. Let s(h) = 39*h**2. What is s(i(d))?\nAnswer: 65559*d**2 - 6396*d + 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 608 is divided by 120.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -5*(sqrt(19) - (0 + sqrt(19))*1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 12) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2175\/7637 - 1\/1091. Suppose r - 2 = -2*j - 5, 4*r + 3*j = 8. Which is bigger: r or v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21024*w**4 + 3*w**2 + 244*w - 10213*w**4 - 9960*w**4 wrt w?\nAnswer: 20424*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 766250367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the third derivative of -8*l**6\/5 + l**5\/30 - 97*l**3\/2 + l**2 - 78. Find the third derivative of c(w) wrt w.\nAnswer: -1152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 58*r**2 - r - 66. Is 18 a factor of o(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4305 and 10395.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 55 - 875*(-138)\/(-4830)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 313, 668, 1275, 2146, 3293, 4728, 6463, 8510?\n\"Answer: 2*q**3 + 114*q**2 - q + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.07 from 7048077104611.\nAnswer: 7048077104610.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmge. What is prob of sequence egm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 3*f - 12 = 0, 3*z - 277*f - 44 = 182*f - 463*f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**2 - 12*j + 8. Let z(r) = r**2 + 11*r - 8. Let o(t) = 6*a(t) + 7*z(t). Is o(6) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9917 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -10 + ((-2016)\/(-1071) - (-4)\/34). Put 6, g, 4, -5, 1 in descending order.\nAnswer: 6, 4, 1, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 24 + -2030534?\nAnswer: -2030510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**2 + 2*n - 4. Let o be v(-3). Suppose 5*c + 4*y = 47, -3*c - c - 3*y + 37 = 0. Let w = c - o. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 - d91ae8?\nAnswer: -d91ae9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*j - 26 + 13. Let w be (j\/3)\/(4\/(2 - 14)). Solve 0 = -4*r + 5*r - w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1564)\/(-46))\/(172\/344).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, q: 1}. Give prob of sequence ql.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-115)\/(-45))\/((-76)\/342). Suppose 0 = 5*r, 2*o + r + r + 24 = 0. Do o and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -444616 + 15152 = 906*m + 2662*m - 94072 for m.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14058, -28116, -42174, -56232, -70290?\nAnswer: -84348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-12)\/c)\/((c\/c**(2\/5))\/c))\/((c\/((c\/(c*c**10))\/c)*c)\/c*c*c\/(c\/c**(-2\/3))) assuming c is positive.\nAnswer: c**(-374\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/20 and (-3488)\/360*(9\/(-24) + 0)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(65)*-1*-6 - sqrt(65)*-2*-6)*2)\/(sqrt(5) + (sqrt(15) - sqrt(375))\/sqrt(3) + -3*sqrt(5)*-3).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1637 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -33\/610, 0.3, 7\/20?\nAnswer: -33\/610","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1231062 (base 8) to base 13.\nAnswer: -bbcc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w. Let g(v) = 4*v. Let o(b) = 3*g(b) + 14*z(b). What is o(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*((-6420)\/5992)\/((-2)\/14).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 8\/((5\/5)\/((-2)\/2))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 198 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (67 - 37) + (7 - 49).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -4 + 39\/(-6)*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86 = 5*r + 2*c, 4 = 2*c - 0. Let l be (-27)\/3*4\/r. Solve 0 + l = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-1\/10)*f*f*f**(-2\/13))**(-1\/73) assuming f is positive.\nAnswer: f**(-357\/9490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 3*d**3 - 13*d**2 + 22*d - 48. Is 78 a factor of l(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -275574, -2204654, -7440790, -17637510, -34448342?\n\"Answer: -275588*n**3 + 36*n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -46*y - 427*y - 107*y - 19720 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h - 9. Let f be d(6). Let m(k) = -2*k**3 - 3*k**2 + k - 2. Calculate the remainder when m(f) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/2, 1, -45, -15, 2\/17, 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/20 and 129\/67280?\nAnswer: 67280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 0 - (-1 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - (-1406)\/(-285))\/(2\/(-9))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6483\/(-9))\/((-1)\/3). Suppose -2157 = -4*n - 2*v - v, -4*n + v = -m. Suppose 274 = f - 5*r, -r = -2*f + r + n. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1749 or -1747?\nAnswer: -1749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -8*k**2 + 4*k + 1. Let h(p) = -25*p**2 + 13*p + 4. Calculate -2*h(w) + 7*r(w).\nAnswer: -6*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -o**2 - 1363*o + 1364 = 0.\nAnswer: -1364, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -39*h + 2179. Suppose 3*r = -2*t - 26 + 74, -42 = -3*r - 4*t. What is the smallest common multiple of f(55) and r?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -231\/8  (b) -3  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2080 + 3548 = 14*t. Let o = -354 + t. What is the highest common factor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**2 - 15*b + 14. Let s be a(11). Let k = 28 + s. List the prime factors of (8\/5)\/((4\/(-75))\/k).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (52 - -17 - 19) + -21 - 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21112200 - 10?\nAnswer: -21112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 441 - 441.3. Put 3, d, -3, 295 in descending order.\nAnswer: 295, 3, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 29 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**2 - 6*m - 1. Let r be d(-3). Let i = r + -25. Which is smaller: -18 or i?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-11)\/66 + (-19)\/(-6). Suppose 3*u = 4*y - 39 + 209, -w*u = y - 160. Suppose 0 = -4*l - 3*q + u + 46, 75 = 3*l - q. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -59 + 89. Suppose -4*g = -3*f - 119, -m = -6*f + 9*f. Calculate the smallest common multiple of g and 65.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01883 to four dps.\nAnswer: -0.0188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 132 and 7704708.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 6:26 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 55403, 48246, 41087, 33926, 26763?\nAnswer: 19598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of -r**5\/20 - 7*r**4\/4 - 20*r**3 - 50*r**2 - 2272*r. Factor b(n).\nAnswer: -(n + 1)*(n + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1835818.\nAnswer: 2, 19, 48311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12022333032 (base 4) to base 14.\nAnswer: 301862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -131971, -527882, -1187717, -2111464, -3299111, -4750646?\n\"Answer: 2*v**3 - 131974*v**2 - 3*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 228 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18 - -3. Suppose d = 13*m - 10*m. Suppose -5*q + 125 = -7*a + 2*a, 75 = 3*q - 2*a. Calculate the smallest common multiple of m and q.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -60, -72, -98, -144, -216, -320, -462?\nAnswer: -648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 7  (b) -0.12  (c) 1\/6  (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1612 * 2922\nAnswer: -4710264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -208017 take away 0.00776089114?\nAnswer: -208017.00776089114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 373529 divided by 13?\nAnswer: 28733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -306 - -305. What is the tens digit of (20\/(-80))\/(z\/3268)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.08 times -6.9744\nAnswer: -0.557952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/8 in -5, 63\/2, 2, -3, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 2 + 0 - 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16 + 16. Suppose 6*c - 12 - 6 = g. Suppose 5*y + 40 = 5*p, 0 = -c*y - 3 - 3. Solve 1 = 5*l + p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 times 22.99\nAnswer: -91.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -63*m**3*x + 6937*m**3 + 2*m**2*x + m**2 - 190*m*x wrt x.\nAnswer: -63*m**3 + 2*m**2 - 190*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(256) - (sqrt(256) + (sqrt(256)*-1 - sqrt(256))*4 + sqrt(256) - sqrt(256)))\/sqrt(8).\nAnswer: 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*6*7\/84?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 9:06 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + -55 + (73 - 35).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4703*f**3*o**2 - 2*f**2*o**2 - 6*f**2*o + 49*f*o**2 + 7*f + 11*o**2 wrt f?\nAnswer: 28218*f*o**2 - 4*o**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 180 by -12.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -453649*a**3 + 88113*a wrt a.\nAnswer: -2721894*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 53855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-18)\/30)\/((-1)\/(105\/9)). Solve t = 16*g - 9*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**2 + 5. Let x be i(-2). Let z(y) be the third derivative of -31*y**4\/24 - y**3\/6 + 168*y**2. Determine z(x).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1429, -2854, -4277, -5698?\nAnswer: -7117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mhpqheqiphmpm. Give prob of sequence pp.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, j: 5, a: 3, f: 4, v: 1, g: 1}. What is prob of sequence jjv?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -737\/11680 + -107\/365. Find the common denominator of 143\/96 and i.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 46*k**2 - k - 2. Let q be r(2). Let n be (27\/q)\/(1\/(-4)). Which is the fourth biggest value?  (a) n  (b) 0.1  (c) -1  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 4*q + 21 = 3*j, 34 = 2*q - 2*j. Solve -314 = q*o - 386 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 6891, 25929, 57665, 102105, 159255, 229121, 311709?\n\"Answer: d**3 + 6343*d**2 + 2*d + 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*c**3*t**3 - 18*c**3*t - 139*c*t**5 - c*t - 13*t wrt t.\nAnswer: 12*c**3*t - 2780*c*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 57640 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3924 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 76 and 102448?\nAnswer: 102448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes before 4:20 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7820.\nAnswer: 2, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3074 + 4047. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000001562 to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x - 29. Let u be g(34). Suppose -167 = -3*r - 5*t + 13, 2*t + 269 = u*r. Suppose -273 = 8*z - 9*z. What is the remainder when z is divided by r?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ql when two letters picked without replacement from qqqqqpxqlqqlqq?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1022528 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 1\/3  (b) 0.2  (c) -2\/5  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 1090 divide 1113980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = p + 7 + 3, 17 = -2*p + 5*w. Let j = -5 - p. Sort j, 0.3, -2\/7 in decreasing order.\nAnswer: 0.3, -2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x\/(x*x**(7\/2))))**(-37)*(((x*(x**(2\/13)\/x)\/x)\/x)\/x)**49)**(2\/67) assuming x is positive.\nAnswer: x**(-7955\/871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are -5 and 3445 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -20011, -40022, -60035, -80050, -100067, -120086, -140107?\n\"Answer: -o**2 - 20008*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 1 - 3 + 1 + 2*k. Let m be 16\/(-4) - -6 - (-1 + -2). Let g(d) = d - 3. Let p be g(m). Give t(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 685 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**3 + 106179*i**2 + 212362*i.\nAnswer: -i*(i - 106181)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2073954.9723 rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*h - 0*h + 2*p, 4*p = -0*h - 3*h - 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -18*o**2 - 38*o - 27. Calculate h(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 10\/(-1) - 4\/(-2). Let r be (-34)\/n + 2\/(-8). Let x = 4 - 3.5. What is the second smallest value in 2\/7, r, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**3 + 3*x**2 + 3*x. Let p = 4 - 6. Let y be n(p). Is 33\/y*20\/(-15) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 17, 38, 75, 134, 221?\n\"Answer: b**3 + 2*b**2 + 8*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 1157*n + 1247. Is u(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l + 1. Let y(p) = -p. Give v(h) + y(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 - 9*y**2 - 10*y + 7. Let z be q(10). Let m(o) = 2*o - 8. Let c be m(z). What is the units digit of 22\/18 + c\/(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n. Let q(s) = -7119*s**2. Calculate u(q(j)).\nAnswer: 7119*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 25 + 43 - 70 - 4*o + 56*o**4 - 4*o**3 + 4*o in the form n + r*o + h*o**3 + u*o**2 + z*o**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -130  (b) 0.3  (c) -0.1  (d) 19224\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 673478518 is divided by 1430?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2076552.45 minutes to weeks.\nAnswer: 206.0071875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*(((s*s*s**(2\/5)\/s)\/s*s)\/s)\/s)**37*((s*s**0*s)\/s)**(-1\/52))**(-9) assuming s is positive.\nAnswer: s**(-121167\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -12 + (13 - (-1 + -7)) + -6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 4*m + 84. Let k be z(-10). Calculate the greatest common divisor of k and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**2 + 4*g + 1. Let i(r) be the first derivative of r**3\/3 + r**2 + r + 151. Let p be ((-144)\/30)\/(-2) + 6\/10. Calculate p*s(f) - 5*i(f).\nAnswer: -2*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1036916143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16*m**2*q**3 + m**2 - 35*q**3 + 53*q**2 + 2 wrt q.\nAnswer: 96*m**2 - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -5*i**3 - 2*i**2 - 2*i. Let u be h(-1). Suppose -5*y - 25245 = -u*q, q + 6*y - 9*y = 5045. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u - 1128 = -53*u. Suppose 0 = -5*s + 5, -22*s - 378 = -4*y - u*s. Calculate the least common multiple of 20 and y.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4382\/5 - -1767\/2. Calculate the common denominator of -75\/22 and r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -22780*a - 193. Determine c(0).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**17\/(h\/h**(-8\/5)*h))\/((h*h*h**(1\/3)*h)\/h*h)**(-1\/6))**34 assuming h is positive.\nAnswer: h**(21352\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 295, 587, 879, 1171, 1463?\nAnswer: 1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8402.\nAnswer: 2, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 73398870, 73398867, 73398864, 73398861, 73398858, 73398855?\nAnswer: 73398852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 1 g when three letters picked without replacement from qqgg.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 179566 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 2*o - 2. Calculate the lowest common multiple of (o\/(-5))\/(2\/10) and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 129426?\nAnswer: 2, 3, 11, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 - -16. Let r = i - 5.65. Round r to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -659 in 1\/2, 1, 23, 3908?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-26)\/(-65))\/((-2)\/(-25)). Suppose 18 = -0*u + 3*u. Solve 5*h = a*i + 10, 0 = 5*i + 3*h - u*h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.5, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 206495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 914 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 73077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 51 = -4*o, -8 = t - 2*o + 7. Let j be 1 + (-7)\/(t\/(-3)). Suppose 0 = -0*q + 3*q + 15. Sort q, j, 2 in descending order.\nAnswer: 2, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -90820, -181643, -272466, -363289, -454112, -544935?\nAnswer: -635758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-seven quarters of a millennium?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -a + 1. Suppose q - 7 = -5*y, q + a*y + 0*y = -1. Let u = q - -17. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 480*z + 531. What is the remainder when 4129 is divided by t(-1)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (-6 + 0 + (-6 - -2) + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1130199 to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 5*t**4 - 1685*t**3 + 86030*t**2 - 508440*t - 596160 = 0?\nAnswer: -1, 8, 54, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*i**5 - 380*i**4 + i**3 - 12405*i**2.\nAnswer: -360*i**2 - 9120*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 1902 divide 1163567520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -226605.7059 to the nearest ten.\nAnswer: -226610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 122811?\nAnswer: 3, 13, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 2*h + 20 = 0, -2*q - 4*h - 8 + 0 = 0. Let i be (-1 - 1)*(q - -5). Which is the closest to -2\/5?  (a) 2\/9  (b) -5  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of 4207830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**3 + 2*z + 1. Let o = -7 + 13. Suppose o*l - 12*l = -228. Let m = -39 + l. Calculate y(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 95206 and 22444.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -833\/11 + 9507\/110. Let y(r) = r**3 + 6*r**2 - 18*r + 15. Let p be y(-10). Calculate the common denominator of o and p\/34*(-2)\/20*4.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 421\/10 - 127\/3. Let q = -1019\/912 + -118\/57. Find the common denominator of q and i.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f + 7. Let i be t(-11). Let h(l) = -4*l + 3. Let r be h(i). What is the greatest common factor of 171 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -5*d + 9*d. Let b = -5 - d. Is 1*1\/b*-1858 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 2847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 4, 2, 3, 0, -35 in ascending order.\nAnswer: -35, 0, 2, 3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + n - 28 = 5*o, -12 = 4*n + 5*o. Let k(v) = v**3 - 2*v**2 - v - 1. Determine k(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -2*p**3\/7 - 60618*p**2\/7 - 544288*p + 4234440 = 0.\nAnswer: -30246, -70, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3717438.\nAnswer: 2, 3, 619573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -1875?\nAnswer: -4\/1875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 5*x - 3. Let t(q) = -9*q + 5. Let l(m) = -7*s(m) - 4*t(m). Give l(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 144948 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z - 0*z - 605. Let l(y) = 11*y + 55. Let i be l(-4). Calculate the greatest common factor of i and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*u**3 - 12 + 2*u**3 + u - 2*u**4 - 3*u**2 + 4*u**3 - 18*u**3 to the form q*u**2 + o*u + b*u**4 + v + g*u**3 and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 473368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 22561 and 5918?\nAnswer: 12137818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {u: 1, w: 2, r: 2, d: 1, j: 1, o: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 + 30*z**2 + 29*z + 2. Let a be b(-29). Let g be 5184\/23256 - a\/17. Find y such that -12\/19 + 2\/19*y**2 + g*y = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:49 PM and 10:28 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4823 - 4541. Which is smaller: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (24 - 5 + 26)*(1 - 4 + 1)*(-1 + 6 - 6)*(0*q + 3*q - q)*(q**3 - 2*q**3 + 2*q**3) in the form w + m*q**2 + x*q + d*q**3 + f*q**4 and give f.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6.0549, -1, -0.4.\nAnswer: -6.0549, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -483*x - 510*x + 1385*x - 487*x.\nAnswer: -95*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -25 + 35. Which is bigger: 12 or d?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the third derivative of -u**4\/4 - 2*u**3\/3 - 6*u**2. Let f be w(-3). Calculate the remainder when (19 - f)*(-59)\/(-5) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 99, 204, 307, 408?\n\"Answer: -t**2 + 108*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -456 or -40562\/89?\nAnswer: -456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 14366048 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 26*j - 11. Is x(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 239957*k**4 - k**3 - 365*k**2 - k + 55 wrt k?\nAnswer: 5758968*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 + 11. Suppose 0 = -2*d + 2*v - 6, g*d + 5*v + 12 = -d. Sort 5, d, -4.\nAnswer: -4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the second derivative of 0*b**2 - 1\/6*b**3 + 2*b + 0. Let n(o) = -3*o. What is i(n(l))?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, e: 3, w: 5, b: 5}. What is prob of sequence xeb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 7) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -19530 rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 0*m**2 + 0*m**2 - 10*m + 1 - 4*m**2 + 3*m**2. Let f be ((-6)\/4)\/(6\/40). What is the units digit of l(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -3*x**2 - x**3 + 2*x - 5*x - 15 + 12. Let p be g(-2). List the prime factors of (1 + -29 + -1)\/p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 41336\/141 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -24*z**5 - 4*z**3 - 12*z**2. Let c(m) = -48*m**5 - m**4 - 10*m**3 - 24*m**2. Let u(v) = -2*c(v) + 5*k(v). Find the third derivative of u(p) wrt p.\nAnswer: -1440*p**2 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c**2 - 2*c**3 - 2*c**2)*(14 - 14 - 11*c**2).\nAnswer: 22*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -57*0.672596.\nAnswer: -38.337972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 24 + -32.5. Let l = -12 - k. Let t = l - -3. Which is the nearest to 1?  (a) 3\/7  (b) t  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 11) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**2 - 1. Let w(c) = -c**2 + 3. Let q(a) = 3*s(a) + w(a). Let z(p) be the second derivative of p**3\/6 - 15*p. Determine z(q(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -16 + 7*g**3 + 2 - 3*g**2 - 7. Let c(l) = 12*l**3 - 5*l**2 - 40. Let i(p) = 3*c(p) - 5*s(p). Differentiate i(j) with respect to j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, -0.2, -165, 4, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + -8. Suppose -n - 4*a - 8 = i, -3*a - 58 + 19 = -2*n. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6, -14, -12, 6, 46, 114, 216?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 2 + 0 + (-1 + 1 + 1)*(2 - 1 + 1))*(2*u**4 - 3*u**4 - 2*u**4) in the form b*u**3 + y + q*u**4 + m*u + g*u**2 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-8)\/(-10))\/((-2)\/(-5)). Let n be (6\/10)\/(s\/20). Let r be (2 - 0) + (n\/(-1) - -6). Solve -a = -r*a + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -10*c**2. Let w be (3 - (0 + -127))\/1. Suppose 0 = -5*p - 5*l + w, 5*p - l - 114 = p. Let a(m) = -14*m + p*m - 12*m. Calculate i(a(f)).\nAnswer: -40*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/216190 and -31\/33260.\nAnswer: 432380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 1777.934cm?\nAnswer: 17.77934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in eleven tenths of a tonne?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -6644 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/((-1 + 4\/3)\/13). Let n = 50 + r. Suppose 14*g - 3 = n*g. Which is greater: -1\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000867804 to seven decimal places.\nAnswer: -0.0000868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*h - 17*h + 6912. Suppose 0 = -x - 2*i + 3621 + h, -5*i + 4491 = x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.17 take away -5290?\nAnswer: 5290.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3885515km to micrometers.\nAnswer: 388551500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2113 in -5\/9, 0.8, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 819 - -74?\nAnswer: 88d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**2 - 6*d - 1. Let l be x(6). Suppose 3*j = r + 15, j - 5*r - 27 = -2*j. Sort l, -4, j in ascending order.\nAnswer: -4, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 6 = 2*m. Let w(u) = -3*u**2 - 2*u + m*u**3 + 6 + 10*u - 5*u**3. Let c(i) = i**3 + i**2 - 3*i - 2. Give 8*c(q) + 3*w(q).\nAnswer: -q**3 - q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:34 PM and 9:26 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 11.26 and -0.000389.\nAnswer: -0.00438014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/(-5) + (-189)\/(-15). Suppose t = -5*r - 18. Is -2 - -57 - (r + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in w - 2*w - 2*w - 2*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -2*n**2 - 10*n + 10. Let a be j(-5). Let i be -5 - 5\/a*-8. Is -8 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the second derivative of -8*i**4 - i**3\/6 - 131*i**2\/2 + 128*i. Differentiate u(y) with respect to y.\nAnswer: -192*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, -0.4, -0.3, -22?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that o**5\/2 + 129*o**4\/2 + 2347*o**3 + 17040*o**2 + 25200*o = 0.\nAnswer: -60, -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 104, 5.\nAnswer: -4, 5, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or 313328?\nAnswer: 313328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 175252?\nAnswer: 350504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11140 and 3740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**3 - 5*i**2 + 7*i + 11. Let x be 80\/(-15) + 6\/(-9). Let m be n(x). Suppose -1 = m*q - 161. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3894007207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and -48.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3020)\/140 + 18)*14\/(-16). Does j = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.38 * -1895.\nAnswer: -720.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the second derivative of h**8\/6720 - h**7\/2520 - h**6\/360 - 19*h**4\/12 + 22*h. Let b(k) be the third derivative of f(k). Factor b(s).\nAnswer: s*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxhxpvpphh. What is prob of sequence xx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*-1.454444\nAnswer: 0.727222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 1377.\nAnswer: -4\/1377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 - -9. Suppose -a*r + 3 = -4*k, 4*r + 3*k - 18 = r. Let z be (-2)\/(4\/(-66)*r). Solve -o = -5*p + z, -o - 5 = 2*p - 4*p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the second derivative of -n**5\/10 + n**3\/3 + n**2\/2 - 10*n. Calculate g(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-122)\/(10\/(-3) + 4). Let h be x\/(-18) + (-5)\/30. Suppose -2*r = 2*d - 18 + 4, -h = -2*d. Solve 0 = -2*f + 10 - r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -390 - -941. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22542727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -11*f + 307. Determine x(27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -349*s + 589. Let g(k) = -70*k + 107. Let w(h) = -11*g(h) + 2*z(h). Calculate w(2).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 99 + -546. Let s = -5359\/12 - b. What is the common denominator of 71\/12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (114\/(-54) - -7)*6\/8\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -34\/9 and 23\/96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*w = -d + 42, 28*w - 5*d = 18*w + 11*w - 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -23143 (base 7) in base 14?\nAnswer: -2223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 248, -4\/23, -4, 1\/5, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 122*d**2 + 13*d - 2*d**5 - 72*d**2 - 399*d**4 + d**5 - 46*d**2 wrt d?\nAnswer: -60*d**2 - 9576*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.625007 milligrams to tonnes.\nAnswer: 0.000000001625007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-6))\/(120\/(-72))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = i. Suppose i = 21*u - 26*u + 30. Suppose b - 2 = u. Calculate the lowest common multiple of 4 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*53.\nAnswer: 15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 18\/10*(-485)\/(-291). Let f(c) be the third derivative of 10*c**2 + 1\/12*c**4 + 0*c + 0*c**a + 0. Let z(o) = -3*o. Determine f(z(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -3*c + 80, -4*c + 43 = 2*v - 5*c. Suppose -87570 = v*u - 64*u. What are the prime factors of u?\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9667 + 9691. Solve -u*m + 4*m + 60 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 1 - 3 + 6 + p**2 - 3*p. Let m be v(3). Let i(n) = 27*n**3 - n**2 + 7*n - 5. Is i(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.02 in 0.157, 0, -84?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 (base 7) in base 10?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -143.6 * -149\nAnswer: 21396.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 7 = -3*b, 5*t - 5*b = -3*b. What is the closest to 1\/5 in -3, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-20)\/2*2\/(-6). Suppose 2237 - 751 - 825 = -127*q + 915. Factor 1\/3*k**q - y + k.\nAnswer: (k - 2)*(k + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -5, -11, -0.063, 1, -2\/23, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*z**2 + 3 - 5 - 4*z**2)*(38*z + 2012 - 2012)*(-3 + 2 + 7) to s + c*z + x*z**2 + r*z**3 and give c.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x - 3*x + 3*x)*(3 + 11 - 5) + (64 - 64 - 34*x)*(-2 + 5 - 2) + 0*x + x - 2*x + (-1 + 1 + x)*(4 - 1 - 1) + 0 + 2*x + 0 - 2 + 2 - 4*x + 3*x - 5*x + 0*x.\nAnswer: -46*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -785\/1158 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3926120 by 39.\nAnswer: 3926120\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6444544 and 2416704.\nAnswer: 19333632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7095 and 4710?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 335676284*r**4 - 297081253*r?\nAnswer: 4028115408*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o**3 - 3990*o**2 + 0*o**3 + 3990*o**2.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are 3\/2 and -50\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -10, 3*f + 0*f + v - 574 = 0. What is the highest common factor of f and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 65849397 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1010 (base 4) to base 5\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that j**3 + 219*j**2 + 2276*j - 2496 = 0.\nAnswer: -208, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 65887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -38, -294, -984, -2324, -4530, -7818, -12404?\n\"Answer: -36*j**3 - j**2 - j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -11 and 51279.\nAnswer: -564069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*s**3 + 7*s**2 - 7*s**2.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10463647, -20927265, -31390857, -41854417, -52317939?\nAnswer: -62781417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-334 - -336) + -17 + 1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the third derivative of -v**5\/140 + 5*v**4\/28 - 25*v**3\/14 + 7*v**2. What is y in c(y) = 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/4 + -2 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -2*f**3 - 14*f**2 - 10*f - 2. What is y(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**3 - 7*y**2 + 6*y + 2. Let j be m(-8). Let g(z) = -251*z + 504. Let n be g(2). What is the greatest common divisor of n and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**3 + 5*j**2 + 2*j - 1. Let t be (2 + -4 + 6)*-1. Let u be k(t). Let x(h) = 2*h + 4*h + 5 - u*h. Determine x(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00008288 to 6 decimal places.\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39792?\nAnswer: 2, 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/3596 and -83\/248.\nAnswer: 7192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -5*f**2 - 5*f - 10. Let u(o) = 11*o**2 + 11*o + 19. What is 7*g(v) + 3*u(v)?\nAnswer: -2*v**2 - 2*v - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + g = 2*h - 3592, -h + 2*g - 1791 = 0. Let l be 8\/(-10)*6\/(12\/h). Suppose 3353 = 5*k + l. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**3 - 3*w**2 - 4*w + 12. Give p(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 6 + 227*m**3.\nAnswer: 227*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**2\/7 + 4*s + 550\/7.\nAnswer: -2*(s - 25)*(s + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -f - j + 17, -2*f = j + 18. Let d(k) = k**3 + 6*k**2 - 8*k + 4. Let h be d(f). Suppose -64*w - 19 = -83. Solve -5*x = w - h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put -1, 4, 28, -3 in descending order.\nAnswer: 28, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20624 - 254*q**2 + 20621 - 41247.\nAnswer: -254*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 21*d. Suppose -3*o + 5 = 2. Let y be b(o). Let v(r) = -y*r + 8*r + 11*r. Let s(a) = 9*a**2. Determine s(v(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -208*x**2 + 338*x**2 + 540*x**2 as n + p*x + g*x**2 and give g.\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.67 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 = -4*m + 3*n, -3*n = -3*m + 109 - 79 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -82637496 by -170036.\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 27509945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {y: 2, a: 4, d: 3, k: 1, o: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 - -1340504603?\nAnswer: 1340504603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 2 - (-45 + (39 - 22)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c + 4*p - 120, -3*p - p = -c + 36. Calculate the smallest common multiple of c and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c**(2\/9))**33)**(-2\/87))**21)**43 assuming c is positive.\nAnswer: c**(-13244\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 121302 (base 4) to base 14\nAnswer: 85c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.74 in -1, 31\/4, -3\/4, 7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 + 2. Let z = -0.1 + 0.15. Let k = -0.45 + z. Which is the nearest to -2\/5?  (a) -2  (b) q  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((-1*-4*sqrt(76) - sqrt(76)) + 2 + (sqrt(76) + sqrt(76)*-2 + 4 + sqrt(76) + -5*(sqrt(76) - (sqrt(76) + 1)))**2) + 5.\nAnswer: -327 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2 - 36*t - 124. Let x be w(-32). Suppose -7*u = -4*l - 10*u + 1267, 1282 = x*l - 2*u. List the prime factors of l.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 - 171 = -4*r - 4*c, 2*r - 3*c - 59 = 0. What are the prime factors of r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -113002320 + 10?\nAnswer: -113002310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 605446.\nAnswer: 2, 302723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 421 + -76. Let h = c - 342. Solve -h*v = -8*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 - 9*d**2 + 21. Let q be r(9). Let b = q - 11. What is the highest common factor of 40 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -2*o - 3. Let x be y(-3). Suppose -36 = x*k + 6. What is the remainder when (-4)\/k + (-1730)\/(-70) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, -2\/9, 2\/3, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - -6. Suppose 4*l + 6 = -3*s, 0*s - j = -3*l + 3*s. Suppose l = -5*r - 1955241 + 17455241. What is r rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (138\/45)\/23*5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 + 7*u**2 + 5*u. Let c = -10 + 4. Is g(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*a + 250 = 2018. Calculate the remainder when 210 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-27)\/6*(-38)\/19*6\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 161, -5, -3, 3, -2 in decreasing order.\nAnswer: 161, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 5*(4 + sqrt(12) + 0).\nAnswer: 10*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c**3 + 0*c**3 + c**3)*(65*c - 34 - 32*c - 36*c + (2*c - 2*c - 2*c)*(2 - 1 - 2)).\nAnswer: 2*c**4 + 68*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:23 PM and 5:21 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -1.4, -1\/2, -4 in ascending order.\nAnswer: -4, -1.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from tttjtttttjttttttttt.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 8 - 3*n - n - 18 - 10. What is the units digit of m(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (21*(-20)\/(-70))\/((-4)\/(-8))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20076 by -28.\nAnswer: -717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 790, 2\/67, 16?\nAnswer: 790","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*n - 3*b = 2*n - 55, -n = 3*b - 7*b + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.9026099 to 3 dps.\nAnswer: 2.903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 30649980 at least 30649980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 2 = -3*n + 12, -3*p = -5*n + 14. Let g be (6\/n)\/(3\/(-8)). Which is the nearest to 5?  (a) 0.4  (b) -2  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*f - 3*j + 15 + 16, -71*f - 5*j - 11 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 8, i: 2, b: 5}. What is prob of sequence ib?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 + 21. Suppose 0*l + 2*l = z. Suppose 4*h = l*w - 10 + 1, 3*w - 4*h + 1 = 0. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 2*p**3 + 15*p**2 + 2*p - 6. Determine h(-5).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 73102180 rounded to the nearest one million?\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (834\/(-69) - -12 - 459\/(-782))\/((-1)\/74).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = -2*x - 6, 7*x + 15 = 2*x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*y**5 + 282*y**4 + 71*y**3 - 6*y**2 = 0. What is y?\nAnswer: -6, -1\/3, 0, 1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 79549586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 682 + 681 - 1363 - 20*j + 46*j.\nAnswer: 26*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -42 - -48. Let l = 21 - 19. Calculate the remainder when 35 is divided by 2*l\/q*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -51*s - 868 + 613 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 175 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -3*x**2 + 6*x + 1. Give b(5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**2 - 9*f - 8. Let q be i(-6). Suppose 4*p = p + 15. Suppose 0 = -5*v, p*v - 20 = -2*l - 0. Calculate the highest common factor of q and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/(-25)*-6*8\/(-12)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from {i: 12, b: 3, m: 1}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -101111111101111 (base 2) to base 6\nAnswer: -305411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of 4*u + 1681\/3*u**3 + 24 - 82*u**2. Let q(z) = 0. What is z?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) + (sqrt(171) - (sqrt(171) - sqrt(171)*-2)*4) - 2*sqrt(171)*1)\/(1*(sqrt(81)*3 + sqrt(9))).\nAnswer: -6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in 0.3, 11, 2, 3\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 24 + 5*w - 6*w - 106*w**3 + 11 wrt w?\nAnswer: -636*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 134 = -116. Let u be (-22)\/(-6) - 6\/d. Solve -12*q + 11*q - u = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -24 + (0\/2 - 0). Let f = 9 - i. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*u**11*u\/(u*u\/u**9) assuming u is positive.\nAnswer: u**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 36361\/2 + -18596. Let j = 402 + h. Calculate the common denominator of ((-1)\/14)\/((-6)\/(-60)) and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -682 = 5*x + 3168. Let r be 4\/(-16) + x\/(-8). Calculate the greatest common divisor of r and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 142432*h**2 + h**3 + 1687 - 142432*h**2.\nAnswer: h**3 + 1687","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 2680.738ml?\nAnswer: 2.680738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that t**5\/3 - 377*t**4\/3 + 620*t**3 + 20*t**2\/3 - 7456*t\/3 + 1984 = 0.\nAnswer: -2, 1, 2, 4, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 2)*(-27 - t + 27)*(-4 + 1 + 1).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - 3)*-3*2\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -v + 0 + 0 + (4*v + v - 3*v)*(-2 + 2 + 2) - 2*v - 2*v + 6*v + (-24 + 530 + 406)*(-11 - 5*v + 11) in the form p*v + j and give p.\nAnswer: -4555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50605 - 220214 + 51031 - 3*m - m.\nAnswer: -4*m - 219788","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 3*l - 6*l. Suppose -l*f + 0*f = -10. Solve -2*x = -f*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-6\/7)*x\/((x\/(x*x**(-33\/5)\/x))\/x) assuming x is positive.\nAnswer: x**(-226\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 48837011 to the power of 1\/2, to the nearest integer?\nAnswer: 6988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*q**3 + 510*q**2 + 28*q**3 - 507*q**2)*((-q - 3*q + 6*q)*(-24 + 24 + 4*q) + 2 - 2 + q**2).\nAnswer: 189*q**5 + 27*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11010100100 (base 2) to base 15.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((-1 + sqrt(275) + 4)**2 + (sqrt(275) - (-3*sqrt(275) + 2))**2) + -5.\nAnswer: -200*sqrt(11) + 18747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/9 - (-34)\/6. Let k = -6 + n. Suppose -3*s + 1 = 5*v - k, -5*v + 5 = 5*s. Solve 4*r - 9 = -5*b, 5*b + 3*r + s = 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -424, 1\/3, 0.4 in ascending order.\nAnswer: -424, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.11 in 0.082, 1\/20, -1\/6?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*w - 2*w = 18. Suppose -2*o - q + 149 = 0, -o + 5*q = w*o - 263. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1617\/8  (b) -0.8  (c) 1  (d) 0.3  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 330 divide 22191840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 706121 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 29 + a?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*a**3 + 544*a**2 - 4*a + 185649 wrt a.\nAnswer: 9*a**2 + 1088*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36757*r + 36761*r = 2*p - 4, 3*r - 4 = -2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 2.8. Let r = -1.4 + -4.2. Let s = -6 - r. Sort 2\/9, s, a.\nAnswer: s, a, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5052 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1452, -3357, -5238, -7089, -8904?\nAnswer: -10677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -30026*j**4 - j**3 + 214748*j**2 - 2*j.\nAnswer: -720624*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 2, 0 = 22*q - 21*q + 4*r - 263. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 4 + 29542*s - 28793*s to the form z*s + p and give z.\nAnswer: 749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 898409723?\nAnswer: 967, 929069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -813*z + 1622. Give l(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 336603576.\nAnswer: 2, 3, 503, 27883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 4*d**2 + d - 4. Let t(q) = -5*q**2 - 2*q + 5. Determine 6*k(u) + 5*t(u).\nAnswer: -u**2 - 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57755*x - 57706*x = 1813 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -36 + 52. Let b = -14 + q. Let i be (-4)\/(b + 6)*-6. Solve 8 = -i*t + 3*h + 23, 2*t - 5*h = 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -6  (b) -0.291  (c) -34  (d) 0.2  (e) 4\/5  (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -82 - -90. Let t(k) = -k**3 + 8*k**2 - 3*k + 21. Let m be t(g). Let j(i) = -15*i + 8. What is the remainder when j(m) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -1, -31, 5, 6, -11 in decreasing order.\nAnswer: 11, 6, 5, -1, -11, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 71637 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -6*a**2 + 18*a - 4. Let o(f) = 7*f**2 - 18*f + 4. Let d(c) = -4*o(c) - 5*q(c). Let r be d(9). Solve 0 = 4*t + 20, -2*x + 5*t + 31 = -r*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((1*(1*sqrt(6336)*3 - sqrt(6336) - sqrt(6336)))\/((3*(sqrt(8) - (sqrt(32) - sqrt(8))) + sqrt(8))\/sqrt(2)*2))**2.\nAnswer: -2376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1969247684?\nAnswer: 2, 492311921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0.5, -1\/4, -1\/2.\nAnswer: -1\/2, -1\/4, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 9219714589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*j**4*q - 26965*j**2*q**2 + 2*j + 88*q**2 - 678*q + 1 wrt j?\nAnswer: -8*j**3*q - 53930*j*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -378 + 55. Let o = f + 322.99999619. Round o to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 5*l - 6*l - 3*l + l**2 - 4. What is m(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 767 is divided by 153.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 11) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 427345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 3*w = -8, -r - 3*w = -5*r + 50. Let n = -23 + r. Let u(b) = 2*b**2 - 10*b - 3. Is u(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x + 5*z - 11, 0 = x - 2*z + 4. Solve 35*d + x = 37*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 106 + -27. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 707510 - -1?\nAnswer: 707511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 2537 (base 11) to base 2\nAnswer: 110011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, 1\/3, 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.5404 and -151.\nAnswer: -232.6004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -699\/5 - -139. Which is the fourth smallest value?  (a) 2  (b) -1\/5  (c) -11  (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -2*u - 2. Let c(d) = d**2 - 2*d - 3. Determine -3*c(o) + 4*n(o).\nAnswer: -3*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 120120202 + 1011200?\nAnswer: 121202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c*c**(-2)\/c))\/c)**(-27) assuming c is positive.\nAnswer: c**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11952154 divided by -2.\nAnswer: -5976077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 1 = -4. Put r, 5, -2 in descending order.\nAnswer: 5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a - 68560 = -2*r, -2*a - 20568 = -5*a - 2*r. List the prime factors of a.\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 341 is divided by 197.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -2\/189656471?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + f + 3)*(1 + 0 + 4) + (0*f - 3*f + 2*f)*(-2 - 1 + 1) to the form h*f + b and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*i**2 + 21*i**3 - 1626 + 3262 + 18*i**3 - 1637 + 2*i in the form q*i + j + c*i**3 + z*i**2 and give c.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 291*g + 287*g + 5*g**2 - 5 + 282*g + 291*g - 1109*g in the form i*g + a + f*g**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -2*g**2 - 5*g - 4. Let r be n(-2). Let b be (3\/r)\/(18\/(-60)). Suppose -30 = 7*f - 142. Solve -b*z - 41 = -f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 447075 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 6 + -2 + 44 - (1 + (-19 - (-7 - -4)))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 639289 to the power of 1\/2, to the nearest integer?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**3\/4 + 2477*a**2\/4 + 80179*a + 79560.\nAnswer: (a + 1)*(a + 136)*(a + 2340)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 22364*c**3 - 9*c + 1143550?\nAnswer: 67092*c**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1377, -2330, -2867, -2988, -2693?\nAnswer: -1982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-2))**7)**(-5) assuming b is positive.\nAnswer: b**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4992)\/(-704) + (-96)\/88.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8)\/(-3) - 1\/(-3). What are the prime factors of 8\/(i + 4\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -8*d**3 + 6*d**2 - 6*d + 5. Let u be ((-16)\/6 + 3)*-39. Let n(p) = -17*p**3 + 13*p**2 - 13*p + 11. What is u*c(w) + 6*n(w)?\nAnswer: 2*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -2*j**2 - 24*j - 40. Let l be b(-10). Sort -17, l, 1, -8.\nAnswer: -17, -8, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n**3 + 5764*n**2 - 299378*n - 621796 = 0 for n.\nAnswer: -2933, -2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 40*h - 182. Calculate the lowest common multiple of 2 and k(23).\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -32 + 54. Let k = x + -6. What is the remainder when k is divided by 10 + 2 + -1 + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 502, 0.05, 2\/13, 4, -3, -20?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/u**(-3))\/u)\/(u\/((u\/(u**2*u))\/u)))**(-21)\/(u*u**(-4)*u**2*(u\/u**1)**(4\/3)) assuming u is positive.\nAnswer: u**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3045 + 3179. Calculate the remainder when 799 is divided by l.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3)\/(-6))\/((-4)\/(-1760)). Let u = j + -115. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22021 - 0?\nAnswer: -22021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x - 4 = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the first derivative of 176*u**6\/3 - 21*u**2\/2 + 8*u - 58. Find the second derivative of s(n) wrt n.\nAnswer: 7040*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -3*h + 2. Let q(n) = -2*n + 3. Let w(i) = -5*i + 114. Let m be w(24). What is m*d(r) + 4*q(r)?\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13 + 8. Let p = h + -1. Let y = p + 12. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**2 - 13*y + 15. Let g be l(12). Factor 2*i**2 - 4*i + 1 + 2*i**3 + 2*i - g.\nAnswer: 2*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -20 - -24. Solve -t*m = m + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*m**2 + 58*m**2 - 7*m + 46*m**2 + 7*m - 160*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**2 - 5*h**2 + 2 + h - h**2 + 4*h**2. Let s be o(0). Let p(z) = 10*z**s + 0*z**2 - 2*z**2. Let g(k) = -k. What is g(p(r))?\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2493638007.00065 + 2494766964. Let s = -1128934 + h. Let k = s - 23. Round k to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from aweww.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:38 PM and 6:03 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 221052, 442159, 663266, 884373?\n\"Answer: 221107*q - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 115253 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c*c**(-3\/2))\/c**(4\/13))**11\/(((c*c\/c**(3\/8))\/c**(-6))\/((c*(c**(-8)\/c)\/c*c)\/c**(-1\/12))) assuming c is positive.\nAnswer: c**(-4189\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - 0 - (3 + 22 + -14).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -15*w**3 + 418*w**2 - 58*w + 6. Let q(d) = 3*d**3 - 83*d**2 + 11*d - 1. Give -11*q(k) - 2*s(k).\nAnswer: -3*k**3 + 77*k**2 - 5*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 181851 is divided by 90775.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m - 3*m**2 + 2*m)*(46 - 17 - 11 - m**3 - 2*m**2)*(0 + 1 - 2).\nAnswer: -3*m**5 - 6*m**4 + 54*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -152071, 114, -1\/11 in decreasing order.\nAnswer: 114, -1\/11, -152071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110 (base 2) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**3\/3 + 10*z**2\/3 + 13*z\/3 - 22\/3.\nAnswer: -(z - 11)*(z - 1)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a millisecond in nanoseconds?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 370 - 368. Is 22 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 3*x**5 - x**4 - 2*x + 2. Let a(l) = 10*l**5 - 4*l**4 - 7*l + 7. Let z(m) = 4*a(m) - 14*i(m). Factor z(g).\nAnswer: -2*g**4*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of (-3)\/((-9)\/(-428))*((-86)\/4 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**2 - 7*m - 1. Let z = -15 - -9. Let k be t(z). Suppose -7 = k*s + p - 31, 0 = -2*s - 2*p + 8. Solve -s*r = 3*i + 20, 5*r + 8 = 3*r + 3*i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 - 9 + 10*k)*(2 + 2 - 3) + 5 - 5 - 5*k - 1 - k + 1 - k + k - 2*k + 3*k + k - 5*k + (-2 + 1 + 3)*(-2*k + 0*k + 3*k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 AM and 2:17 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6731599 + 6731599 + 322*i.\nAnswer: 322*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (26*(-38)\/(-3952))\/(195\/(-30)*1)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.04?  (a) -0.2  (b) 29  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 51359 and 1835262?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the first derivative of -2\/3*m**2 + 20*m + 4\/9*m**3 + 15 - 1\/9*m**4. Let j(q) be the first derivative of r(q). Factor j(l).\nAnswer: -4*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + -2 - (3 - -4 - 13)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000094344 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1186583 times 2?\nAnswer: -2373166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 7*q - 17. Let f(r) = -34*r + 84. Let s(h) = 33*h - 83. Let t(l) = -3*f(l) - 2*s(l). Let y(p) = 16*o(p) - 3*t(p). Is y(6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the third derivative of -7*h**5\/20 - h**2. Let d(n) = n**2. Let b(v) = -18*d(v) - z(v). Let k(s) = -2*s. Calculate k(b(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -p**4 - 1567*p**3 - 154*p**2 + 7076*p - 336 wrt p?\nAnswer: -12*p**2 - 9402*p - 308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4071, 8104, 12093, 16032, 19915?\nAnswer: 23736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 40 - 27. Differentiate 34*m**3 + w + 13 - 63*m**3 wrt m.\nAnswer: -87*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/14 + ((-4376)\/(-56) - 8). Suppose -m = -9*t - 25. Solve t*f = 3*f + 8, 0 = -3*x - f - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s + 3*s + 49. Is (-14)\/s - 19\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 797436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 11:05 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 7579 + 11?\nAnswer: 7590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 16348 a multiple of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -81*s + 14. Let v = 14 - -87. Suppose -76 = -5*y - v. Is j(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3936718255 divided by 5?\nAnswer: 787343651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 161*t**2 - 49*t. Suppose 2*m - 24 = -2*m - h, -4*m = -5*h - 24. Let b(x) = 20*x**2 - 6*x. What is m*z(i) - 49*b(i)?\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 31 + -10. Let u = f + -21.52. Let z = 0.02 + u. Which is the closest to 0?  (a) z  (b) 0.4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a = 5717 - 26714. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7520 and 2.\nAnswer: 15040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1185 divided by 167\nAnswer: 1185\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 115664.\nAnswer: 2, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z*z\/(z**(-6)*z)*z))\/((z*z**17)\/z))\/(z*z**29*z*z\/(z*(z*z*z*(z\/(z\/(z\/(z\/(((z*(z\/((z**(-6\/7)\/z)\/z))\/z*z)\/z)\/z)))))\/z)\/z)) assuming z is positive.\nAnswer: z**(-358\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 32205294997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-1740)\/(-96) - (-5 + (-246)\/(-48)) and 1392.\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the second derivative of d**4\/12 + d. Let j(z) be the third derivative of z**5\/60 - z**2. Give a(j(t)).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/16632 and -73\/10584?\nAnswer: 116424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 21  (b) 1  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 277*a**2 + a - 1. Let i be o(1). Let u = -269 + i. What is the remainder when 18 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 49, 68, 105, 160, 233?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/(-3) - (768\/(-20))\/6) + 17214\/190.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 1 + 2)*((-3 + 2 + 5)*(9 - 9 + 6*c) - 5 + 4 - 4*c + 2*c) to w*c + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from {k: 1, w: 1, h: 1, t: 1, b: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -1642  (c) -0.02072  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s*s\/(s*(s*s*s\/s**(-2\/15)*s)\/s))\/s**0*s**(-1\/4)*s**(-2\/7) assuming s is positive.\nAnswer: s**(-701\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the third derivative of 11*p**6\/30 - p**5\/15 + 3*p**4\/4 - 4*p**3\/3 + 75*p**2. What are the prime factors of z(3)?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-5) + 1470\/150)*(-2)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -31*j**2 + 14*j**2 + 13*j**2. Let n(a) = 8*a**2. Determine v(n(r)).\nAnswer: -256*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 1. Let a(j) = j - 3. Let m be a(3). List the prime factors of (m - x) + 1 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56058.\nAnswer: 2, 3, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**2 - 7*h - 8. Let y be p(8). Suppose -4*r + 4 + 24 = y. Suppose 4*u - 3*b - 13 = 5*u, -u + r = -b. What is the remainder when 3 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 3*z - 12, 3*o = 3*z - 32 - 10. Let g = -30 + 33. What is the highest common factor of z and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/28*((-201)\/(-90) + -2)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -9\/313?\nAnswer: -9\/313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j = 4*f - 6, f - 12 = -3*f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 190 + -186. Solve i = -h - 0*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 2*a - 4 + 4 - 3*a. Suppose 2*h - 6 - 4 = -m, 5*m = -5*h + 35. Let u(n) = -14 + 14 + 2*n - h*n. Give o(x) - 4*u(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -5*s + 4*u, -3*s = -0*s - 2*u - 20. Let g be (-4)\/s*(5 + -1). Let q be 1*(-4)\/(-4 - g). Solve 3 - 11 = 2*m + z, -q*m = -2*z + 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and 1390.\nAnswer: 11120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1406 - -1401. Put -2\/9, 1\/2, r in ascending order.\nAnswer: r, -2\/9, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zo when two letters picked without replacement from {l: 4, b: 6, o: 1, z: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8613782127.\nAnswer: 3, 41, 23343583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -700758604.9049 - -702099314.9. Let x = c + -1340627. Let k = x - 83. What is k rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -62?  (a) -5  (b) -1\/4  (c) -1\/11  (d) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -6949, -13916, -20883, -27850, -34817?\n\"Answer: -6967*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/14 and 49\/9190?\nAnswer: 64330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-120)\/(-75)*(-5814)\/(-2448)\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:53 PM and 12:51 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31217 is divided by 156?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 885322.8 to the nearest 1000.\nAnswer: 885000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the third derivative of p**5\/60 - 3*p**4\/4 + 19*p**3\/3 - 27*p**2. Is a(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 2*g**2 - 15*g + 28. Calculate q(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 14\/3 + (-8)\/12. Suppose k*b - 7 = 1. Suppose b*p = -4*x + 18, -p = -x - 4*x - 44. Solve m + p = i + 2*i, 5*m + 15 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -290093 divided by 1?\nAnswer: -290093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -7, -20.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 431 - 431.5. Let j be (-45)\/(-18) - (0 + 0). Sort j, -1, 0, f in descending order.\nAnswer: j, 0, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 9448, 18514, 27564, 36592, 45592, 54558?\n\"Answer: -k**3 - 2*k**2 + 9079*k + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 32974 - 34697. Which is smaller: -4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1111, -2226, -3347, -4474?\n\"Answer: -3*t**2 - 1106*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) -1  (c) 0.09  (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 2*f. Let k be p(3). Let m = k + 14. Solve 2*t + 2*t = m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -90 + 122. Calculate the remainder when 33 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of 1033*m**4\/4 - 1960*m - 1015. What is the first derivative of s(g) wrt g?\nAnswer: 3099*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the first derivative of -r**3\/3 - r**2 + 14. Suppose -16 = -b + 4*c, -b + 3*b + 3 = c. Give j(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*n + 13*k - 16*k - 6, 4*n = 3*k + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 23920 or 23917?\nAnswer: 23920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((sqrt(112) - 6*(1 + sqrt(112)))*2*5*-3 + -5)*-2)**2.\nAnswer: 21000000*sqrt(7) + 255062500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -2*w**2. Let o(v) = -15*v**2 - 6*v. Let q(m) = 9*m**2 + 2*m**2 - 13*m - 41*m**2. Let b(u) = -13*o(u) + 6*q(u). Determine b(c(z)).\nAnswer: 60*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 67919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 201020 = 3*t, 2*t + 6*g = g - 133980. What is t rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -47.11 plus 61072870?\nAnswer: 61072822.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 5*y**2 - 3*y - 57. Let n(m) = m**2. Let p(v) = -v**2 + 30*v - 57. Let c be p(28). Let f(j) = c*s(j) + 4*n(j). Differentiate f(g) wrt g.\nAnswer: -2*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10941626635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 15*j**2 + 10*j + 3. Determine c(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3*(3 - (1 - -1)). Solve 0 = 4*t + t - x*y - 10, -2*t + 3*y = -4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 0*h = -4. Let v be (18\/(-27))\/(h\/(-6)). Let b(i) = 8*i**3 + 2*i**2 - i. Let k be b(v). Solve d - 4*d = k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-3)\/u*u**(-3))\/(u**3\/u**(2\/11)))\/(((u*u\/(u\/((u**(-2\/3)\/u)\/u)))\/u)**(-5)*(u**(1\/3))**(-1\/51)) assuming u is positive.\nAnswer: u**(-38953\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mnmnhinmnnnhnmnnnnhn. Give prob of sequence nnm.\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 145923.5cm?\nAnswer: 1.459235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1658 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -3*c - 7*h + 2*h, -4*c + 2*h = -10. Calculate the greatest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 4 + ((sqrt(170) + (sqrt(170) - 2*sqrt(170)))*-5 + (sqrt(170) + sqrt(170)*-1 + sqrt(170))*6)\/(sqrt(440)\/(sqrt(22)\/sqrt(2))) + -2.\nAnswer: 7 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.07057 + -10.\nAnswer: -10.07057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*t - 655*t**2 + 9*t + 9*t.\nAnswer: -655*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/7, 0.3, 3\/2, 3\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*((-10)\/22)\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*l**6 - 157*l**5 + 308*l**2 - 2 wrt l.\nAnswer: -240*l**3 - 9420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**3 + 5*x**2 + 3*x + 8. Let q be s(6). Let y be ((-8)\/q)\/((-1)\/(-5)). Suppose 0 = -m - y*m + 5. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84*f**2 - 174*f**2 + 12*f**2 + 77*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of -w**4\/8 + 3*w**2\/2 - w. Let f(r) be the first derivative of l(r). Let t(x) = 2*x. What is 4*f(b) + 5*t(b)?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 383 by -3470.\nAnswer: -383\/3470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 33*z - 180009 - 24591. List the prime factors of z.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (113\/1)\/(100\/(-10) - -11). Find the second derivative of 146*a**3 - 108*a**3 + y*a**3 - 125*a wrt a.\nAnswer: 906*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 1 = -2*y + 9, -4*y + 4*d = -20. Factor -3*j**2 + 4*j**2 + 2*j**5 - j**4 - j**y - j**3.\nAnswer: j**2*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.603 - -0.963. Which is bigger: -0.4 or s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*t - t - 2*t)*(4*t - 4*t - t) - 48*t + 6*t**2 + 6 + 48*t to h*t + f + r*t**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 335912141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -3d (base 14) in base 3?\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes before 8:03 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -13b11 - 15d0?\nAnswer: -151e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -21.9853 + -4?\nAnswer: -25.9853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of q**2*z + 1313*q**2 - 11*q*z - 12*q + 3*z wrt q.\nAnswer: 2*z + 2626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**2 - 8*s - 8. What is y(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -29, -2\/11, -7, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -94 + 298. Suppose 31*u - 15*u - 32 = 0. Suppose 42 + 50 = u*k + 5*s, -2*k - 3*s + 88 = 0. Calculate the remainder when q is divided by k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3403 = -0*q + 211*q + 1082 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*c - 3. Suppose 0 = -o + u, -12 = -c*o + u - 5*u. Let n be o - (2 + -4 + 1). Solve -n*j - 2 = 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1662.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 805\/14*((-4)\/(-90))\/((-648)\/(-11664))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (2 - 2) - (14 - 15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.5 - -4.6. Which is the nearest to q?  (a) 4  (b) -3  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-58 - (18 - 58)) + -11.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(24)\/sqrt(8) + sqrt(3267) + sqrt(3).\nAnswer: 1 + 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7355800 and 1160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (9 - (3 + (4 - -6))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1832714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 95.28279kg?\nAnswer: 95282790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 2 p when three letters picked without replacement from {e: 5, p: 5}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -116 divided by 5\nAnswer: -116\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57253*y - 1407 = 57320*y for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 2*z + 15. Let j be y(-5). Suppose 0 = -2*a + 6, -4*t + 0*a - j*a + 55 = 0. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand w - w + 2*w**3 + 5*w - w - 33*w**3 + 29*w**3 + (173 + 57 - 524)*(2*w**3 + 0*w**3 - 4*w**3).\nAnswer: 586*w**3 + 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 426 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -160794*s**2 + 305841*s**2 - 145046*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 8)*(1 - 13 + 0)*(12*h - 7*h + 10*h).\nAnswer: -720*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(104) - sqrt(104)*1) - (2*sqrt(104) - sqrt(104))*-4)\/(-1*sqrt(512) + sqrt(40)\/(sqrt(10)\/sqrt(2))).\nAnswer: -4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -798*2.961\nAnswer: -2362.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 55 - -2?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 14 = -3*r, -z - 2*r - 3 = -3*r. Let i = -2 + -5. Calculate the common denominator of 33\/2 and ((-1)\/i)\/(z\/26).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 2*z**2 - 6*z + 5*z - 3*z - 31 + 13*z. What is the tens digit of x(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -5*b + 4. Let i be -1 - (-2 - (0 - -2)). Let q(f) = -4*f + 3. Let o(g) = i*t(g) - 4*q(g). Let c(u) = -6*u**2. What is c(o(l))?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and -3.37.\nAnswer: 1.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*i**5 - 4*i**4 + 2*i**3 = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1193 times 0.7?\nAnswer: 835.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 84*j - 86*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 4*v. Let t(k) be the third derivative of 17*k**4\/24 - 433*k**2. What is t(c(i))?\nAnswer: 68*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 317*(-3)\/(-6)*-2. What is the units digit of 2\/11 - p\/11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 83859504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 AM and 8:07 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-104)\/910*(-5)\/((-2)\/(-2)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 338 = 3*z - 1059, -z + 475 = -3*p. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c - 6 - 9 + c. Let b be u(-9). Let r(o) = 7*o + 8. Let a(n) = 6*n + 7. Calculate b*a(d) + 5*r(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 426\/4*(-130)\/(-117). Let q = g - 1295\/12. Calculate the common denominator of 21\/2 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 85885, 85871, 85849, 85819, 85781?\nAnswer: 85735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, l: 3, n: 1, v: 2}. Give prob of sequence vla.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2100*f**5 + f**4 + 419*f**3 + 7872*f**2 + 282*f wrt f.\nAnswer: 126000*f**2 + 24*f + 2514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -67 minus 0.842?\nAnswer: -67.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-58)\/68*(-684)\/30 + -1. Let f = z + -300\/17. Factor -22\/5*q**2 + 2*q**5 + 42\/5*q**3 + 0 - 34\/5*q**4 + f*q.\nAnswer: 2*q*(q - 1)**3*(5*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:39 AM and 5:30 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 2*p - 0*p + 18, 4*l - 3*p - 17 = 0. Let s(q) = 241*q**2 - 50*q - 2. Is s(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 291738253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-1)\/(-2))\/((-10)\/(-20)). Let s(w) be the third derivative of -w**4\/24 + w**3\/6 - 307*w**2. Let q(n) = 3*n**2 + 4*n - 3. Give b*q(r) + 3*s(r).\nAnswer: 3*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 297077, 297177, 297275, 297371, 297465, 297557?\n\"Answer: -u**2 + 103*u + 296975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4829 + 9352. Let h = -27023\/6 + d. What is the common denominator of 8\/3 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12 and 668?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*a**4 - 123705059*a**3 + 354887431*a**2 wrt a?\nAnswer: 48*a - 742230354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -113*v + 154*v = 205 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 97 + -146 - ((-1 - -8) + 1 + -17)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 170 divide 6704460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/5 + (-6)\/(-5). Let v(h) = 2*h. Let f(t) = 1. Determine q*f(d) + v(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*h - 79*h**2 + 7*h + 0*h - 52*h**2 - 8*h as w*h**2 + s + v*h and give w.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, f: 1, h: 2, p: 1}. What is prob of picking 1 p and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 9:23 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3230 is divided by 723.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.023004253 to four decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80 = 40*p, -24 = 37*h - 42*h - 3*p for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + o - 8*o**2)*(-2 + 2 - 2*o**2).\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 4, d: 3}. Give prob of sequence ddp.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -3*t + 6. Calculate x(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -300 + 420. Let d = p - 117. Solve -d*n = -6*n - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 74?  (a) 186  (b) -19  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 2*b**3 + 2*b**2 - 4*b + 3. Let d be z(1). Sort -14, 5, 4, d in increasing order.\nAnswer: -14, d, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r - 2. Let q be b(6). Suppose -5*j + q*o = o - 861, j - 165 = 3*o. Suppose p - 3*d - 35 = 0, p - 5*d + j = 5*p. List the prime factors of p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 130 and 1950?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1852643\/367464 - -1\/30622. Find the common denominator of o and -59\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 53\/213 + 6\/71. Let v be (-2)\/(-5)*(-3)\/(-2). Let q = 1 - 0.7. What is the nearest to h in 3, v, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rggrqrrmmgxgrq. Give prob of sequence qg.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3970425 is divided by 233554.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, c: 1, y: 1}. Give prob of sequence cry.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 14\/(-4)*((-1800)\/(-63))\/(-20). Suppose 3*u = 4*s - 47, -3*s + 0*s = 3*u - 30. Let b(p) = -10 - p + s + 0*p. Give b(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -6 + 7 + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 132821 and 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 2652.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.55 take away -0.22?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 80 = -62 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/4518 and -61\/168.\nAnswer: 126504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -513 = 14*z - 107. Let s = z + 34. Solve -3*y = y + 5*n + 45, s = -n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - -1. Suppose 18 - 9 = 9*z. Suppose -5*g - 4*t + z = -3, -2*g = -t - 12. Solve -2*l + g = n*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 3*u**2 - 18*u + 16. Calculate w(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + -71?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 109695962 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hjs when three letters picked without replacement from {s: 2, n: 1, e: 1, j: 1, h: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1017 by -220.\nAnswer: 1017\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 2516175 = -3*l. Let v(i) = -1049*i**2 - 3*i + 7. Let n be v(-4). Let h = n + l. What is h rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 7:29 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -248\/5 or -49?\nAnswer: -248\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -3*x**3 - 48*x**2 - 195*x - 150 = 0.\nAnswer: -10, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6462, 22664, 66660, 152352, 293642, 504432?\nAnswer: 798624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 1. Let g(r) = -2*r**2 + r - 1. Give -b(u) + g(u).\nAnswer: -2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d - 2 - 10. Suppose 2*q + d - 2 = 0, 5*q + 65 = 3*y. What is the greatest common divisor of y and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -125564 divided by -4.\nAnswer: 31391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 107*b + 5. Let g be w(-3). Let s = g + 573. What are the prime factors of s?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - ((-3 - -8 - 5) + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 9*t**4 - 4*t**3 + 4*t**2 + 5*t. Let j(b) = -b**4 + b**3 - b**2 - b. Let u(r) = -3*i(r) - 12*j(r). What is the second derivative of u(z) wrt z?\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101000320 (base 4) to base 15.\nAnswer: -159ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.6356 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -157343, -157259, -157161, -157043, -156899, -156723, -156509?\nAnswer: -156251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 4 = -3*d, -4*p + 3*d = 2*d + 10. What is the remainder when p\/7 - 678\/(-21) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 189459 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (1 - 3) - (-821 + 813).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5.941 - 8.941. Is -73.1 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (38*w + 107 - 107)*(8 + 40 - 15)*(0 + 0 - 1) to the form u*w + q and give u.\nAnswer: -1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x - 31 = 5*v, -1345096*v + 1345095*v = -3*x + 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -260, -524, -788, -1052, -1316, -1580?\n\"Answer: -264*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 274 + -3*4\/6. Suppose 0 = -5*o + 13*o - y. Does 29 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 358*j - 4049670 - 27587793 - 29018119. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -90 - 5*s**2 - 14*s**3 - 4*s**3 - 5*s**4 - 17*s**3 + 135*s.\nAnswer: -5*(s - 1)**2*(s + 3)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 1 + 1 = 3*p, -24 = -5*p - 2*d. Calculate the remainder when 5 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2 - y + 1. Let s be j(2). Suppose -7*k = -s*k - 52. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(-42)\/42*(-20)\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(121)\/sqrt(275))**2.\nAnswer: 8*sqrt(11)\/5 + 411\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + -1 + (15 - 12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 18 and -0.0078.\nAnswer: -0.1404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3363 is divided by 589.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 14785980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1521675, -1521562, -1521375, -1521114, -1520779, -1520370?\nAnswer: -1519887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(-39)*(-394 + 388). What is the third smallest value in m, -36, -13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:37 AM and 9:32 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/68 and -107\/216.\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -a5a19 (base 14) in base 5?\nAnswer: -100243423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -51 smaller than -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-1)\/4)\/((-6)\/12). What is the closest to 1 in -5, k, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -50*r**3\/7 + 515030*r**2\/7 - 823952*r\/7 + 329568\/7 = 0.\nAnswer: 4\/5, 10299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 + 4)\/(18\/6). Let q be (b\/3)\/((-15)\/(-1125)). Solve q = -2*m - 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -24505.63855 to the nearest 10.\nAnswer: -24510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -92*p + 4840 = s - 89*p, -2*s + p + 9715 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 749 = -3*t + 17*t + 93*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 61*p**2*s - 319*p**2 - 82381*p*s wrt p.\nAnswer: 122*s - 638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 AM and 11:45 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppk. Give prob of sequence kp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*f**3*n + 5*f**3 + 2*f**2*n**2 - 18*f*n + 23*n - 816 with respect to n.\nAnswer: 3*f**3 + 4*f**2*n - 18*f + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 68 = f. Suppose -3*z + 20 = -3*u - f, -2*u = 0. Calculate the remainder when 70 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/3 or 1\/713?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 17 and 319668?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-82 + 39 - -34 - (0 + -22)) + 0 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.04 - -2.04. Let u be (12\/14)\/(320\/105 + -3). Suppose 0 = -2*y + 4*g + u, -3*g - 21 = -2*y - 2*y. What is the second biggest value in y, 1\/6, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -11  (b) 1  (c) 14  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-79 - -112) + -26 + 12 + 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -70156300 to the nearest 1000000.\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10121.\nAnswer: 29, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -17104 + 17109. Let x(g) = -g - 1. Let d(f) = -7*f - 6. Let b(k) = -d(k) + 6*x(k). Calculate b(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8)\/76 + (-13020)\/(-228) + (-9)\/3. Solve 0 = 845*b - 854*b - f for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1256343.\nAnswer: 3, 11, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (1 - -2) - (350 - 366)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11000100001010000101000001111 - 0?\nAnswer: 11000100001010000101000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1711*r + 321*r - 50829 - 156033 = 1608*r for r.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78950.\nAnswer: 2, 5, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 26*v = 30*v - 13579, 3*g - 3*v = 40662. What are the prime factors of g?\nAnswer: 7, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1333842869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 3:09 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-7 - -1) - 0 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 232 - 179. Suppose 3066 = b*u - 114. Suppose 4*m = 5*q + 65, -4*m = -2*q - 44 - 30. Calculate the greatest common factor of m and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*k + 52*k = -13*k - 705 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - x - 45 = 0. Let j be x - -15 - 28\/(-18). Let k = 10\/63 + j. Do 2 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 5 = -o - w, 3*o - 13 = -4*w. Suppose 2*u = o*u - 86. Suppose 3*t - 4*x - u = 0, 4*t - x - 71 = t. Does 20 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 32 + -42 - (-19 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 729906.14 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*n - n**2 + 8*n + 4*n**3)*(-3*n**2 + n**2 + 0*n**2) - 165*n**5 + 524*n**5 + 176*n**5.\nAnswer: 527*n**5 + 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5.927747 centuries?\nAnswer: 7113.2964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 2*s**2 + 11172*s - 3593510 = 0?\nAnswer: -5891, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -43681, -43680, -43669, -43642, -43593?\nAnswer: -43516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 172900907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(3 + -1*sqrt(5))*-3.\nAnswer: -18 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 151\/6 and -53\/10920579.\nAnswer: 21841158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 22 = -2*y, -3*u - 3*y + 3 = -6*y. Let q be (-4)\/u + 24\/9. Solve q*k + 7 + 0 = 3*s, 0 = -3*s + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 4) + (-9 - (-8 - (-3 + 11))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -0*x + 6. Calculate the lowest common multiple of 24 and 8 + 8 + (-4)\/x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -15*v**3 + 11*v - 11. Let t(k) = 0*k + 25 - 21 - 4*k + 5*k**3. Determine -4*f(d) - 11*t(d).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -320410049 or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2935, -10266, -22495, -39628, -61671, -88630, -120511?\n\"Answer: -d**3 - 2443*d**2 + 5*d - 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175)\/sqrt(5)*-4)\/(-5*sqrt(28)\/sqrt(4)) + 4 + -4*sqrt(500)*-6.\nAnswer: 4 + 1204*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -4, 1, 14, -2, 525, 4 in decreasing order.\nAnswer: 525, 14, 4, 1, -2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + 6 + 40. Suppose -19*q - 20 = -v*q. Solve 4*x + 2*o + 11 = 29, -x = q*o - 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23369600 rounded to the nearest 100000?\nAnswer: -23400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2220 + 223?\nAnswer: -1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.92 - 3.82. Which is the closest to -2\/129?  (a) d  (b) 1\/3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 z, and 1 n when three letters picked without replacement from febzbfnz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -4, 12.8, 1\/10 in increasing order.\nAnswer: -4, -0.3, 1\/10, 12.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.5  (b) -1\/8  (c) -1\/9  (d) 3.82  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 + -3 + 21\/6*2. Suppose 0*q + m - 45 = -4*q, 0 = 2*q + 5*m - 45. Let z = 15 - q. Solve z = -3*n - v*k, 4*k = 5*n + 55 - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -56, 4, 3176, -4 in descending order.\nAnswer: 3176, 4, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2391219285?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(-9) + 11925\/(-81) + 3. Let b = k + 353. List the prime factors of b.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h - 1. Is x(-17) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -469 - -1?\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.29888 and -15?\nAnswer: 4.4832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 45.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -18 - -14. Which is the smallest value?  (a) 14  (b) 2  (c) p  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) 0.515  (c) -2212  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 45, 181, 409, 729?\nAnswer: 1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes after 6:52 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s**2 + 41*s - 56. Let z be c(-22). What is the greatest common divisor of 1945 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from {y: 6, k: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 + 3*k**2 - 1. Let r be o(-2). Let n = r - 4. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 * 2090\nAnswer: 10450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -581, -4591, -15503, -36785, -71905?\n\"Answer: -578*r**3 + 17*r**2 - 15*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -3*v. Let f = 79 - 83. Let u(y) = y + 2. Let i(q) = q - 8. Let s(r) = f*u(r) - i(r). Determine s(a(p)).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o**2 + 13*o + 2. Let b be d(-7). Suppose -6 = -5*l + b. Suppose 3*w + 4*c = -12, -5*w - 9 = -2*w + l*c. Solve -2*y - y = 4*s - 16, s - 4 = w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - 221 = 5*x, 28*m + 32*m - 83*m + 513 = -12*x - 22*m for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 481664 or 481639?\nAnswer: 481664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1109 - 1110) + (0 - (1 - -5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 13.8 + 1.06\nAnswer: 14.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -15*w**3 - 3933*w + 130705 wrt w.\nAnswer: -45*w**2 - 3933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.15  (b) -968  (c) 1\/2  (d) -1\/11  (e) 2  (f) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, b: 1, j: 1, r: 2, y: 1, u: 1}. Give prob of picking 1 b and 1 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 + 16. Suppose z*p = -2*p. Suppose 5*n - 5*l - 105 = -p*l, 5*n = -l + 81. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v**(-19)*v))\/v*v*v**(3\/7))\/(((v**(5\/3)*v)\/v)\/v*v\/v**(-5)) assuming v is positive.\nAnswer: v**(268\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 71492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15.14 - 15. Let s = 117.51 + -118. Let l = q + s. Round l to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 78\/15 - 1 - (-100)\/125. Solve -4*k = -w - 5, -j*k + 5 = 2*w + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33336 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -13.63081 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u + 3*u + 15. Let s = 17 + -19. What is the third biggest value in s, -0.3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 169540935 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 + 4. Suppose 4*o = 6*o - 8. Suppose 0*v + 5*m + 90 = 5*v, 2*v - 12 = -o*m. Solve h*x - 2*j - 10 = 0, 0 = -2*x + 3*x + 2*j - v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12*l**4 + 57*l**3 + 16*l**2 + 222 wrt l?\nAnswer: -288*l + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-8)\/(-10))\/((-6)\/(-15)). Let i(a) = -4*a**2 + 10 + a**w - 10. Let b(g) = 2*g. Determine b(i(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 + 4*w**2 - 7*w - 5. Let m be j(-5). Let g = 2 - 2. Let v be g\/(0 + -1*2). Solve v*f - 5 = -m*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2 - 2*q + 6. Let l be g(-4). Is (l\/4)\/((-21)\/(-448)) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 12\/3 - (0 - 0). Suppose -m + b + 0 = 0. Suppose -3*c = -5*c + m. Solve c*o = 6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3012485 (base 13) in base 3?\nAnswer: -1000022101200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50*(-1777 + -11)\/(-12).\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -896 - 5*d**2 + 444 + 452.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m**2 + 24*m + 145 = 0 for m.\nAnswer: -5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) -0.1  (c) -0.2  (d) 6  (e) 1  (f) 0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.334 to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 18 + 6 + 4 + 2. Solve 5*l - 29*x + 24*x = -j, -20 = 5*l + 5*x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -402.7 + 517. Let c = -135 + h. Let w = 21 + c. Which is bigger: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -24 - -32. Let p be (-9)\/((-81)\/(-45)) - 53\/(-11). Sort z, p, 0 in ascending order.\nAnswer: p, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kerowkewggogoggkgko. Give prob of picking 1 r, 2 o, and 1 e.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 2*h + 33. What is the remainder when s(27) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/((-12)\/5)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3956072 is divided by 417?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125*k - 3*q = -121*k - 2093, 5*q = -3*k + 1556. Put k, -4, -3 in decreasing order.\nAnswer: k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 16*s + 8*s - 3*s + (-2*s + 5*s - 4*s)*(1 - 1 - 1) + 4*s - 18 - 5*s + 3.\nAnswer: 21*s - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 98557?\nAnswer: 67, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 262 + -251. Let p(v) = 2*v**2 + 2*v - 1. What is the remainder when a is divided by p(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-910)\/195)\/((-105)\/180)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11212123 (base 5) to base 7.\nAnswer: 600131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 7025 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 212 + -112.1. Let l = v - -0.9. Let q = -116 + l. What is q rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58246.4 tonnes to grams.\nAnswer: 58246400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5878\/23731 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.4  (b) -17  (c) 2\/5  (d) 0.26  (e) 0.3  (f) -117\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 166970*v**2 + 4965 - 166973*v**2 - 13447 in the form j*v + f*v**2 + t and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 322860414 + 37812?\nAnswer: 322898226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -168016*h**4 - 1865798.\nAnswer: -672064*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**3 + 6*s**2 - 5*s + 3. Let q be i(5). Let g(k) = 2*k - 1. Give g(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -35  (b) -0.09  (c) -25  (d) -6  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -136315746 by -2781954.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01029 rounded to four decimal places?\nAnswer: 0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/6  (b) -3\/4  (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 + 7 + 7 + (5 - -59) + -1.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 8*p**3 + 24 + 10*p - 9*p**3 + 0*p**2 - 3*p**2. Let z be n(-4). Solve -2*f = 2*a + 2*f + 10, z = 3*f + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3369055.3 - 14\nAnswer: 3369041.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -21*w**2 + 2*w**2 - 260*w**2 + (5 - 4 - 2)*(-w**2 + 2*w**2 - 3*w**2) + 5*w**2 - 3*w**2 + 0*w**2 + 6*w**2 - 4*w**2 - 4*w**2.\nAnswer: -277*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -5 + -1 - (-6 + 3). Let a be (-2)\/(-5)*(2 - j). Suppose -5*u - 3 = -23. Solve 3*i + f = -9, 0*f + u = -5*i + a*f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 170774 at most 853871\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-19)\/((-3135)\/(-2442))*(-5)\/2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, k: 3, t: 5, b: 4, v: 3, a: 4}. What is prob of picking 1 v and 1 b?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12 and 215160.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 126 a factor of 404252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 406310477.\nAnswer: 406310477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 - -5. Let v(g) = g**3 + 4*g**2 - g - 4. Let n be v(o). Solve 3*m = d - 3, m - 3*d + 2*d + 3 = n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -17, 2\/11, -2\/317, -4?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 169 + (-123 + 98 - (0 + 0 - 2)).\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*k - 2*k + 6*k**2 + 0 + 0.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*q**2 + 6*q**2 + 0*q**2)*(58*q - 2*q - 11*q) + 85*q**2 - q**3 + 3 - 67*q**2 - 4 as x*q**3 + k + c*q + t*q**2 and give x.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrzsn. Give prob of picking 2 r and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 2:18 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**2 - 9*m. Let u = -984 - -978. What is d(u)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 209740.\nAnswer: 2, 5, 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34888 is divided by 50.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:07 AM and 2:29 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-42)\/112*8 + 5\/(5 - 10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-4))\/1*(-282968)\/4564\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 27889319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.01 in 80, 55, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 71, 95.7, 0.1, 2\/5?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 166 + -95. Is c less than 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 418 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 23 and -128?\nAnswer: -2944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 134 - 133.8. Are 0.1 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) -0.07  (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6.95 + 0.05. Let w = -7.6 + g. Let u = -0.73 - w. Round u to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (14\/4 - 3)\/(((-5917)\/3172)\/(-97))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -109345 by -95.\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0, -490 in increasing order.\nAnswer: -490, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 3201 = 5*i, -8*i = -7*i - 1. Let r = m - 341. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 121 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 98068319 to the nearest integer?\nAnswer: 9903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1298077 centimeters in millimeters?\nAnswer: 1.298077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.8 - 1. Let v = 3.8 - x. Let w = -2.999998 + v. What is w rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 2 = 2. Let i = -23 + 22.58. Let u = 0.02 + i. What is the nearest to -0.1 in u, -4, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 3*x**2 + 10*x - 13. Give p(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 4*p - 1577 = 0, 6*j + 4*p + 3178 = 4*j. Which is bigger: j or -1600?\nAnswer: -1600","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(4320) + 1*(sqrt(4320) + sqrt(4320)*-2))\/(sqrt(70)\/(sqrt(7)*-1*6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15 + -3. What is the tens digit of (-414)\/j*4\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.44 * -0.25823\nAnswer: 0.1136212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -31675, -63379, -95059, -126703, -158299, -189835, -221299?\nAnswer: -252679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = 4*y + 4, 2*d - 7 = -2*y - 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 34243373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 314065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 - 3467?\nAnswer: -3463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b - 4*b + 30 = 0. Let w = b - -14. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1864095439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*x**2 + 6 - 2*x**2 + x**2 + 4 with respect to x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (2 - -2) - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65) - -3*sqrt(65)*-2)\/(sqrt(5) + 1*sqrt(180)).\nAnswer: -5*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**2 + 8*l + 8. Let w be d(8). Suppose w*n = 3*n. Which is the biggest value?  (a) -1\/4  (b) -0.1  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5108?\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*i**4 + i**4 + 5*i**4 + 15*i**4 + 6*i**4 - 2*i**4 + (0*i - 2*i + 3*i)*(4*i + 2*i**3 - 4*i) - 5*i**4 - i**4 + 2*i**4.\nAnswer: 21*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 0. Let t be ((-2)\/(-3))\/(26\/(-6) + 0). What is the closest to 0 in k, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -6, -2041, 40, 0.\nAnswer: -2041, -8, -6, 0, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5986 - 2?\nAnswer: -5988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/658800 and -23\/22248?\nAnswer: 67856400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*i = 19 + 101 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-10))\/(-4*57\/4940)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (-24 - (-1 - (2 + 9))) + -10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 0 = 2*a + 4, -o = -4*a + 2. Suppose 6*l = o*l - 12. What is the fourth smallest value in 0.1, 0.2, -2\/9, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -8*m + 57. Let k be o(9). Let s(a) = -7*a + 116. Let h be s(k). Calculate the greatest common factor of 26 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/45129294 and 79\/684.\nAnswer: 90258588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/14 in 9.5, -2\/7, 100?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.071 and -5.\nAnswer: 10.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 90631 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (88\/220)\/(2\/((-20)\/22)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of -2*f**6\/15 + 7*f**4\/3 - 4*f**3 - 37*f - 6. Factor a(o).\nAnswer: -4*o*(o - 2)*(o - 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -373, 66, -1\/6, 0.014, -1?\nAnswer: -373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from ssussuuuusuuussumsu.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/14873 and -51\/86180?\nAnswer: 9221260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288) + 1)**2 + (0 + sqrt(128))**2.\nAnswer: 24*sqrt(2) + 417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 819043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -84*j + 23. Let w be a(16). Let l = w + 191547\/145. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -606 or -605?\nAnswer: -605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3, -6, -21, -36, -45, -42, -21?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes after 7:46 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/(p\/((p**33\/p)\/p))*p*p**(-2\/7) assuming p is positive.\nAnswer: p**(222\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*z - w - 4 = -46*z, w - 6 = 0. Let t(i) = 6*i**2 - 2*i - 3. What is t(z)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 210 - -205. Suppose -3*t + 8*t = f. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136)\/(sqrt(392)*4))**2.\nAnswer: 17\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8560291004\/1243681035 - 623\/1017326. Let x = -8\/489 + o. What is the common denominator of 69\/2 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + 3. Suppose 0 = -n*l + 9*l - 474. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 50*o**5 + 11410*o**4 + 92988*o**3 - 3852424*o**2 + 24519088*o - 45581184 = 0.\nAnswer: -218, -27, 22\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 3*r**2 - 7*r**2 + 309*r - 309*r. Let d(z) = -z**2. Give i(d(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 32 = 3*x. Calculate the remainder when 47 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, 0.5, -18.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2102101211 (base 3) to base 2\nAnswer: 1011101000111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-2 + (-4 - (-40)\/7)). Let i(x) = 3*x**2 + 4*x + 2. Let q be i(-4). What is the first derivative of j + 4*w**3 - q*w**2 + 34*w**2 wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + s - 2 + 7*s - s - 4*s + (0 + 3 - 1)*(3*s - 2*s + 0*s) + s - 2 + 2 + 4*s + 23 - 23 + (0 + 1 + 1)*(-4*s + 4*s - s).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 276\/(-16)*8\/(-9). Which is smaller: 16 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 492393415?\nAnswer: 5, 98478683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-m + 4*m + 0*m)*(1 - m - 1) - 11*m**2 + 7*m**2 - 11*m**2 + (-5*m + 3*m + m)*(m - 4*m + m))*(-2*m + 3*m + 0*m).\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sum 34893957446 and -0.679.\nAnswer: 34893957445.321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (0 - -5*(2 - 4))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6807268 and 392727.\nAnswer: 20421804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1898*0.07\nAnswer: 132.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9073912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3034 + -3786?\nAnswer: -6831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -19984706 by 2854958.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 l, and 1 i when three letters picked without replacement from aiiiala?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59*i**2 - i - 44*i**2 + 36*i**2.\nAnswer: 51*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/(-3))\/((-2)\/6). Suppose 2*o = -p*o + 8. Suppose -2*s + 20 = 2*b, o*b - 62 = -3*b + s. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -7902477, -31609921, -71122327, -126439695, -197562025?\n\"Answer: -7902481*b**2 - b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*l**4\/5 + 27*l**3\/5.\nAnswer: 3*l**3*(2*l + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2\/7 - 2564*b\/7 + 116982.\nAnswer: 2*(b - 679)*(b - 603)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 6, 107, -128, 7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 18.0085 to 1 decimal place.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**2 - 38*f - 164. Let y be u(42). Suppose h + 2*m - 384 = -2*m, 5*m + 1536 = y*h. Is 32 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.064 - -0.484. Let m = 0.02 - r. What is the second biggest value in -1\/6, -2\/11, m?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*x - 1745 = -170*x + 7319. Suppose -6*i + i + 120 = 0. Calculate the highest common factor of x and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:52 PM and 9:36 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -85*p**2. Let d(q) = -284*q + 1. Determine d(c(a)).\nAnswer: 24140*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102 = 65*c - 66*c. What is the smallest common multiple of c and 153?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (59 - 24) + (-5 - (-16)\/4)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -64 - -66. Let t(s) = -s - 1. Calculate t(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2\/51 - -124\/561. Which is the third smallest value?  (a) 20  (b) 0.3  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**3 + h**2 + 2*h + 2. Let c be k(3). Is 326\/(-1*c\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -2*v**2 + 70*v. Let z(k) be the first derivative of -k**2 + 675. What is z(i(u))?\nAnswer: 4*u**2 - 140*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54 + 119 - 65 - 9*y**3 - 6*y**3.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16359001.\nAnswer: 89, 183809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -39\/2*h + 1521\/4 + 1\/4*h**2 = 0. What is h?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/9, -0.4, 0.06, 28.2, -2 in ascending order.\nAnswer: -2, -0.4, -1\/9, 0.06, 28.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) + 1)*-1)**2 + sqrt(5) - sqrt(5) - sqrt(135)\/sqrt(3) - -5*(-1 + sqrt(245))**2.\nAnswer: -71*sqrt(5) + 1236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -786, -873, -986, -1125, -1290, -1481, -1698?\nAnswer: -1941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.475 - -0.275. Sort g, -11, 1.3 in descending order.\nAnswer: 1.3, g, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.08 - -5.08. Let j = -12 + 16. Let n = j + 0. What is the closest to n in -2, s, 2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -245*p = -156*p - 119*p + 90. Let d(h) = -h**2 - 4*h - 4. Let r be d(-3). Which is the third biggest value?  (a) r  (b) 0  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -22, 47, 23 in increasing order.\nAnswer: -22, 23, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 32579503.9 rounded to the nearest 10000?\nAnswer: 32580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - 2*r**2 + 0 + (4*r - 3*r - 2*r)*(2*r - 1 + 1) + 4 - r**2 - 4 + 2 + 1 - 4 + r**2.\nAnswer: -4*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 117 and 99.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 29394 and 5382?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 + 7*m**2 + 10*m - 13. Let j be n(8). Let p be -6 + 23\/(184\/48). Solve j*y - 4 + 13 = p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -59 or -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 278 and 4?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-9 - -3) + 12 - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6850\/36990)\/((20\/30)\/(1\/((-5)\/4))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 + 6. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -35, -5, -3338, -2, -12 in increasing order.\nAnswer: -3338, -35, -12, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 0, 515, 1398, 2655, 4292, 6315?\nAnswer: 8730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-52)\/455)\/(2\/6 + (-143)\/195). Let i = -2 + -2. Which is the nearest to -2\/5?  (a) 0.2  (b) i  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2\/5, 0, -55.\nAnswer: -55, -2, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -15 + -8?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10.1 - 0.1. Let r = 608 + -617. Let i = r + d. What is the third smallest value in 0.1, i, -17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, k: 2, g: 1, t: 1, s: 2, n: 2}. What is prob of picking 1 t and 2 s?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**2 + 4*i + 11. Let t be r(6). What is the tens digit of (t + 160)\/(18\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*m + 3 = -4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6641954 is divided by 130.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 241755617 and 7655?\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 236*i**3 - 20*i**2 + 8*i + 101. Is z(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**3 + 12*q**2 - 12*q + 13. Let b be 318\/(-24) - 2\/(-8). Let h be m(b). Solve h = -4*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -32*w**3 - 2*w**2 + 1. Let m be b(2). Let d = -120 - m. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 324 and 8208.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -5*h - 1301 + 1312, -4*z - 2*h + 22 = 0. Solve 0 = -g + 2*q - 1, z*g = 17*q - 13*q + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h + 3*t - 6*t - 31, 86 = 4*h + 2*t. Suppose 10 = 7*k - 2*k, 46 = d + k. Let p = -24 + d. Calculate the least common multiple of h and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 + 3.6. Let y = 1.3 + l. Which is the biggest value?  (a) y  (b) 5  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/((-125)\/10))\/(12\/75)*(-212)\/10.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - (2 + 1)) + (118 - 128 - (0 - -20)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times 0.00219\nAnswer: 0.000876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*r**2 - 2*r**2 - 3*r**2)*(-4*r**2 - 5*r**2 + 4*r**2) - 2*r**4 + 0 + 3 - 2 in the form u*r**4 + h*r + l*r**2 + x*r**3 + f and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -484323 + 1246204. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**3 + 5*s**2 + 4*s + 4. Let m be z(-4). Let v be m\/(-10) - 714\/(-35). Find the common denominator of 21\/10 and ((-30)\/(-160))\/((-1)\/v).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2054*k + 731*k + 724*k + 722*k - 15)*(-k**2 + 4*k**2 - 2*k**2) to the form p*k**2 + j*k + n + t*k**3 and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2464 and 206918096?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -29 + 33. Sort 0.15, -1\/8, d in decreasing order.\nAnswer: d, 0.15, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 63611121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -2*b**2. Suppose 4*r = 4*w + 40, 3*r = 2*w + 7*r + 32. Let x = w - -21. Let f(a) = 5*a**2 + x*a**2 + 5*a**2 + 13*a**2. Calculate f(i(g)).\nAnswer: 128*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 1988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*f + 0*f + 4*f)*(-2*f**2 - 2*f**2 + 0*f**2) to w*f**3 + a + t*f**2 + u*f and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12447 (base 9) to base 7.\nAnswer: -33310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.06 - -0.06. Let t = -118.765 + 0.565. Let u = 118 + t. Which is the closest to o?  (a) u  (b) -1  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqsqffhqfqxdqxxdqss. Give prob of sequence xxxq.\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2*5\/15)\/((-20)\/18)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 1 = 0, 8*p + 3*n - 23 = 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**2 - 3*r - 9. Let l(f) = 46*f + 267. Calculate the remainder when l(-5) is divided by k(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/64 and -24\/4256467.\nAnswer: 272413888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 274749107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 9*l**2 - 6*l + 1. Let u be (27\/15 + -1)*5. Is k(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 6 = 4*r + 3, -4*r + 5*j = -27. Suppose -p = -f - 2, -3*p + 11 - 3 = -f. Solve 4*h + p*u - r = -35, 5*h - 5*u = -5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bkbb when four letters picked without replacement from {b: 11, k: 4, s: 3}?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 31356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 9. Suppose w + 29 = 4*n - 12, -3*n - g*w + 25 = 0. What is the remainder when n is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**2 - 142167*v + 852894.\nAnswer: 3*(v - 47383)*(v - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 126497.97 rounded to the nearest 1000?\nAnswer: 126000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7\/2434 - 115977\/720464. Find the common denominator of u and 31\/44.\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11010000010110111110 (base 2) in base 11?\nAnswer: 533223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/(-84) + (-2)\/(-12) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 239325536 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2*j + 4)*(j + 3*j - 3*j)*((-4 + 4 - 1)*(4 - 4 + 2*j) + j + 4 - 4 + (-3 + 3 + 2*j)*(2 + 1 + 0)).\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4704, 9410, 14116, 18822, 23528?\nAnswer: 28234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.08 and 27371221.\nAnswer: 2189697.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -88 + 9. Let d = -13 + g. Let w = d - -91.9917. Round w to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 640\/1344 - 4722\/126?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (4 + -8) - 81\/(-21).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3308 is divided by 123.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -v - s, 26*v - 2*s = 23*v + 19. Which is the closest to 5?  (a) -0.6  (b) -48  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 3*f - 12744, -20 = 1467*f - 1472*f. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/4  (b) -5  (c) -2\/339  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, g: 6, t: 4}. Give prob of picking 2 t.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11243 is divided by 1852?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17732, -18658, -20328, -22748, -25924, -29862?\nAnswer: -34568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92 = 2*o - o. Suppose o = x - 5. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27482?\nAnswer: 2, 7, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1360 and 599930.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9335190 is divided by 237?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003068 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of i**7\/126 - i**6\/5 + 103*i**5\/60 - 11*i**4\/2 + 56*i**3\/9 + 6189*i. Suppose t(g) = 0. Calculate g.\nAnswer: 0, 1, 2, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 52*p**4 + 4*p - 4*p**2 - 36*p**3 + 3*p + 53*p**5 - 29*p**5 - 44*p**5 + p.\nAnswer: -4*p*(p - 1)**3*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4748785.\nAnswer: 5, 223, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2112224224 (base 5) in base 7?\nAnswer: 52343502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 17237.4342 hours?\nAnswer: 102.603775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 38*w**2 + 2*w**5 + 16*w**5 + 12*w**5 + 2*w**5 wrt w.\nAnswer: 1920*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s*s*s*s**(2\/7))\/s)**(-46)\/((s\/(s\/((s*s\/(s\/s**(-4\/7)))\/s*s)*s))\/s**(-1\/5)))\/(s\/s**(-10)*s**(3\/7)*s)**44 assuming s is positive.\nAnswer: s**(-24417\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36\/4*6\/513.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 2:07 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 155 = 1082*t - 1087*t + 3*i, 5*t - 295 = -7*i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -22 + 27. Suppose -4*y - 13 = u*h, -2*h + 11 = -y + 24. Let j = -82 - -45. What is the fourth smallest value in y, -0.3, j, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*t - 4*t - t)*(5 + 2 - 6)*(755*t**2 + 448*t**2 - 139*t**2) as b*t**3 + w*t**2 + r + u*t and give b.\nAnswer: 1064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -2*m**3 + 162*m**2 - 69*m - 321. Is r(80) a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 2*m - 1 + (0 - 3 - 3)*(-2*m - m - 3*m - 1).\nAnswer: 38*m + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-35))\/((-1776)\/(-2072))*(-1)\/(-1)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -2, -1\/5, -5\/19, 10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17)\/(1020\/3)*(-460)\/(-5).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2311 - -2321. Suppose 4*k + 3*n - 112 = n, k = 4*n + 28. Solve -5*d + 0*d = f + s, 5*f + k = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.1287258ml?\nAnswer: 0.0001287258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-5 + 5 - 2*d)*(0 + 1 + 0) - 2*d + 4*d - 3*d + 2*d + 1 - 1)*(-7*d + 65*d + 37*d) to the form n + g*d + m*d**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4783587 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 + 18*t**2 - 20*t - 1. Let d be h(17). Let r = d + 55. Suppose -r*u = -n + 147, -2*n - 8*u = -3*u - 272. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1856 and 49648.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-4 - -4) + 758)*1. Let l = h - 218. Suppose 0 = 2*t - 1042 - l. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 + 1. Suppose 2*j + 9 = g. Suppose -5 = -3*u - 3*t + 5*t, u + 17 = -4*t. Sort u, 3, j.\nAnswer: j, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1649)\/(-388) + 5\/(-4). Solve -5*t - 18 = -c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 - 28 - 12)*(265810 - 265810 - 866*p).\nAnswer: 23382*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02945 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1788212?\nAnswer: 2, 447053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b*b*b*b*b**0*b*b)**(-37)\/(b**(1\/2))**(-33) assuming b is positive.\nAnswer: b**(-485\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 518 - 450. Let h = -68.000076 + d. Round h to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 371723 - 2?\nAnswer: 371721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 - 15. What is the nearest to 1 in 5, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -83935 + 8a?\nAnswer: -83867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 860 divide 1848267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 5*h - 14*h + 7*h - 13. Let s be o(-9). Let d = -5.08 - -0.08. What is the nearest to 0.1 in s, d, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 46 - (-26 - 32 - (0 + -31))\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from {k: 7, w: 7, f: 1, c: 1}.\nAnswer: 49\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 86*r**3 + 12*r**2 + 5*r. Let p(x) = 43*x**3 + 5*x**2 + 2*x. Calculate 5*p(q) - 2*z(q).\nAnswer: 43*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes before 8:08 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8057 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 7\/(7\/(-63)*-1). Let l = 195 - z. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, z: 9}. Give prob of sequence zhhz.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/7 or 218?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hghhhvhhgvvhhghg. Give prob of sequence hh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3 + 2 + 1 + 1. Let v be (-3 + 3 - y)\/(-1). Solve -3 = -j + v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-26)\/(-4) + -65*130\/(-676). Solve 0 = -x - 3, -q*k - x + 2 = -18*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00069317014 rounded to five dps?\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 535.474296 + -436.47430444. Let a = h - 99. What is a rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3324071197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 11, c: 1, e: 7}. What is prob of sequence ct?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -53 + 90 + -15 + 6\/(-2) + -9\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.23 + 0.03. Let i = -83.219 - 1.881. Let x = i + 85. What is the nearest to 0 in m, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the third derivative of 0*t**3 + 1\/6*t**4 + 2*t**2 + 0 + 1\/30*t**5 + 0*t. What is the second derivative of b(i) wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-95817 + 54263 + 50563)*(0 - 4*j + 2*j + 2 + (1 - 2*j - 1)*(-2 - 1 + 4)).\nAnswer: -36036*j + 18018","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dxx when three letters picked without replacement from ldldxdxldxdll.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 319, 294, 261, 220, 171?\n\"Answer: -4*k**2 - 13*k + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 2*i**2. Let q(m) = 1666982*m**2 + 4 - 1667416*m**2 - 4. Determine l(q(r)).\nAnswer: 376712*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 + 2*n + 10. Let h be f(-7). Suppose 2*k + 2*j - 16 = 0, -4*k + 79 = -2*j + 65. What is the greatest common divisor of h and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + i + (0 - 2 + 3)*(-3*i + 13*i - 3*i))*(-2*i + 0*i + 11*i).\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000508041 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55417044?\nAnswer: 2, 3, 557, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80164*f**3 - 80218*f**3 + 160518*f**3.\nAnswer: 136*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 30, -1\/3, 1\/5, 3, 0.1, 1 in ascending order.\nAnswer: -1\/3, 0.1, 1\/5, 1, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rtsahsr. Give prob of picking 1 r and 1 s.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1d563 (base 14) in base 6?\nAnswer: 1335535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 6337.212 millennia?\nAnswer: 633721.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 - c. Let d(l) = -2*l**2 - 4*l + 1. Let o(w) = d(w) + 3*k(w). What is the remainder when (-52)\/3*3\/(-2) is divided by o(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange k**2 + 1243*k - 632*k + 105*k + 116*k to the form y*k**2 + w*k + t and give w.\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -16 + 31. Suppose 2*j + 3*s = h, -4*j + 10 = -j + 2*s. Suppose 3*n = m - 2, -m + 8 = 3*n - 0*m. Is j <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 - 153*c**2 + 158*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 3\/3 + (-12)\/7 + 1\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1558843*b**3*d**2 - b**3*d - b**3 + 3*b**2*d**2 - 7*b**2 + 6*b*d - 2*b + 2*d**2 - 105*d wrt d.\nAnswer: 3117686*b**3 + 6*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 - -1 - 0)*(75 + -75). Solve -x + l*n + 1 = 4*n, x - 1 = 3*n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -12*b - 5. Let j be i(-5). Let n = j - 28. What is the remainder when n is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-4) - 51\/60.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*o**5*y + o**3 + 40*o**2*y - 17*o*y + 15*o + 2*y wrt o.\nAnswer: 140*o**3*y + 6*o + 80*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -151 + 154. Sort z, 2, -0.2.\nAnswer: -0.2, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -s - 2*i - 11, -496 = 3*i - 493 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 2\/21, 42, 0.1, 5, 0.4, -13199?\nAnswer: -13199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52 = -17*d + 35 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 44\/(-3) - 16\/12. Let v = -12 - t. Solve z - 3*z - 22 = v*j, 0 = -2*z + 5*j + 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00005257119259 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 150450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, 5, 9, -2, -396 in increasing order.\nAnswer: -396, -14, -2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 4)*(-p + 6 + 4*p - 4)*(-3 + 6 - 1)*(3*p + 4*p - p).\nAnswer: 36*p**2 + 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 124*i - 46*i**2 + 51*i**2 + 131*i - 272*i + 95*i**2.\nAnswer: 100*i**2 - 17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 20100 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (112\/(-84))\/(2\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from {h: 4, g: 4, f: 9}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -121702197, -243404394, -365106591, -486808788, -608510985, -730213182?\nAnswer: -851915379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n**4 - 3*n**4 + 3*n**4 + (2*n**2 - 3*n + 3*n)*(4*n**2 + 4*n**2 - 6*n**2) - 45*n**4 - 49 + 49.\nAnswer: -39*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*l - l - 20 + 96 = -j - 13*l, 4*l + 96 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19651332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the third derivative of x**8\/6720 + x**7\/840 + x**4\/24 + x**2. Let j(o) be the second derivative of k(o). Find the third derivative of j(t) wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -2*h - 4. Let u(a) = 1. Suppose -4*j + 50 = -5*o, 2*o - 2*j = -3*j - 7. What is o*u(f) - m(f)?\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5)\/(-2)*(-12)\/(-15). Suppose -5*b - 16 = -r*j, -5*b + 6 = -4. Let k = j + -11. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:21 AM and 10:10 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**22*n)\/n*n*n)\/n**(2\/29)*(n*(n**(1\/15)\/n)\/n)\/(n**38*n))**(-3) assuming n is positive.\nAnswer: n**(6961\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -19 - 105 - y**2 - 37 - 8 in the form i*y + j*y**2 + b and give b.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z = 4*r - 4, 0 = -6*r + r + 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -4*n + 6. Suppose -u + 1 = -1. Let i(s) = 3 - 4*s**u + 7*s**n - 3. Let y(l) = 3*l**2. What is i(y(c))?\nAnswer: 27*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 2. Let c be (-3386)\/1944 + (2 - 1). Let u = -2\/243 + c. What is the third smallest value in u, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aiaa when four letters picked without replacement from kiiaaiiikiia.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 4, i: 2}. What is prob of sequence aaa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = q + 770, 4*q = 4*c - 420 - 1112. Suppose -385*g = -c*g + 1384. Round g to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -2\/25, 1.7, -3, -1702?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1028.38 - -59876.62. Let v = l - 60905.199944. Let a = 0.2 + v. Round a to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7210 or 7081?\nAnswer: 7210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -20897586*-5\nAnswer: 104487930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.059?  (a) -1  (b) -1\/7  (c) -0.4  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*h**2 + 281*h.\nAnswer: h*(5*h + 281)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 528680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 91*x**3 + x**2 - 2*x + 2. Let g be t(1). Let h(p) = 97*p - 188*p + 1 + g*p. What is h(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -84 and -850031.\nAnswer: -850115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 - -0.03835.\nAnswer: 1.03835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 823660, 1647230, 2470712, 3294106?\n\"Answer: -44*i**2 + 823702*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (864\/(-216))\/((-34)\/(-3)*3)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14341 = 14350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-4) + (-24)\/7 + (-132)\/(-308)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in seven halves of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 4*g + 2*n - 84, 0 = 4*g - 4*n - 104. What is the remainder when 109 is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5448 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.2  (b) 1  (c) -111872\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -4*a**2 + 12*a - 5. Let m(d) = 5*d**2 - 10*d + 4. Let s(b) = -5*i(b) - 6*m(b). Let u = -2 - -3. Give s(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/3 - (-30)\/9. Let y be ((-2)\/4)\/(14\/28) + 3. Let b be -2*y*-1*15\/30. Put -3, b, l in ascending order.\nAnswer: -3, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1668 + 85?\nAnswer: 85.1668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 692*v**3 - 2087*v**3 + 688*v**3 + 689*v**3.\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -41.68 + 0.68. Let a = l - -37. Let x be 10\/15*75\/(-10). What is the nearest to a in x, -0.1, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/5  (b) -3  (c) -1127.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + -1 + (-2 - -21).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = s + 2*q, 3*q = 5*s + 6*q - 188. Let z(k) = 3*k + 2. Let d be z(5). Let u = s - d. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 36 - 33.1. Let a = y - -2.1. What is the smallest value in 3, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (955\/(-382))\/(10\/12). Let r = -2 + 2. What is the closest to 0.08 in r, v, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-93)\/217 - (-74)\/42?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**3 - 4*c**2 + 2. Suppose -22*s + 23*s = -4. Let x be n(s). What is the greatest common divisor of 6 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -279 = 31*d - 93 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 - 4. Let a = -78 - -113. Suppose 6*i - i = a. Solve i*g - 2*l = 4*g - m, 4*l = -3*g + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-8))\/(152\/(-6080)) + 59\/8?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(-1\/8))\/((g*g\/((g*g*g**(2\/13)*g)\/g))\/g)*g**(1\/8)*g**0)\/((g**(-1\/3)\/g)**37)**(-43) assuming g is positive.\nAnswer: g**(-330553\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 + -6*6\/(-9). Solve -b*o + 2*o - 3 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 70 + -24. Suppose 0 = 3*b + 4*t - p, -b + t = -5*b + 44. Let i be -4*-7*5\/b. Solve -3*r - i - 1 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 192 + -120. What is the common denominator of -59\/20 and (-26)\/u*(-3 + 1)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -24 + 24. Suppose -2*h + 4 = -m. Suppose 4 = -2*u - q + 2, -2 = h*u - q. Which is smaller: 2\/7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 2*d**3 - 4*d**2 + 6*d - 7. Let g be q(2). Suppose 3*u = 2*t + 4379, 2*t - 3 = -g. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 6*x - 7. Suppose 5*w - 2*t = -15, -w + 3*w - 3*t = 5. Let n(j) = 5*j - 6. Give w*n(o) + 4*h(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(75)*1 + 2 + (sqrt(75) + (-5 + (0 + sqrt(75) - sqrt(75)))**2)*-5)*-4.\nAnswer: 140*sqrt(3) + 492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1293534, -1293523, -1293512, -1293501, -1293490?\nAnswer: -1293479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**2 - g + 6. Suppose 12*q - 13*q - 6 = 0. Determine d(q).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwf when three letters picked without replacement from {f: 18, w: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2029*c*g**2*x**3 + c*g**2*x + 59*c*g**2 + c*g*x + 781*c*x**3 - 5*c*x + 36*g**2*x - 18*g**2 wrt x?\nAnswer: -12174*c*g**2*x + 4686*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, -76, -21453 in decreasing order.\nAnswer: -19, -76, -21453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d**4 - d + d + (11*d**3 - 12*d**3 - 7*d**3)*(-5 + 0 + 4)*(2*d + 9*d + 5*d).\nAnswer: 126*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + 12417983 - 42189983. What is o rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the second derivative of q**7\/2520 + q**6\/540 + q**5\/360 + 5*q**3\/6 - 5*q. Let n(a) be the second derivative of k(a). Factor n(j).\nAnswer: j*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 10) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1026003445 to the power of 1\/2, to the nearest integer?\nAnswer: 32031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.05928139491 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 71 and -4006.5.\nAnswer: -284461.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 10\/(-1)*5\/(-10). Suppose 2*k = -f*h + 7 - 26, 4*k = -5*h - 13. Solve -k*x + 3 = 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*j**2 + 2*j**4 - 2*j + 14836 - 14803 + 3*j + 3*j**3 in the form d*j**3 + x*j + z*j**2 + o*j**4 + n and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 276304610 to the power of 1\/2, to the nearest integer?\nAnswer: 16622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 4*i - 500179 + 500240 = 0, -43 = 5*r + 2*i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 522007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 58 = -32. Is ((120\/t)\/(-10))\/(4\/51978) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 7, -107, -221?\n\"Answer: -114*q + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -615*w + 628*w = 52. Solve 2\/11*x**3 - 2\/11*x - 2\/11*x**2 + 0 + 2\/11*x**w = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21 + 28. Factor -30*p - p**2 + 18 + t + 6*p**2.\nAnswer: 5*(p - 5)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 124 divide 48717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8226 and 1962?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000624 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 15 in -2, -0.2, -3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*n + n**2 - 2*n)*(0*n + n - 3*n) - 3*n**3 + 6*n**3 + 7*n**3)*(8 - 38 - 32).\nAnswer: -496*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 61, -10, -189, -530, -1087, -1914, -3065, -4594?\nAnswer: -6555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 99 and 5\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17 + -12. Let s be ((-24)\/9)\/(6\/(-9)). Let y be (-3)\/(-2)*-2*-1. Solve -5*r = -x*g + 10, -2 = s*r - y*g + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 151\/540 and -99\/20.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2332203323 (base 4) to base 3\nAnswer: 1110122200212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjo when three letters picked without replacement from {o: 5, f: 6, h: 1, j: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -2*sqrt(3)*2 + -1.\nAnswer: -4*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1618*y**3 - 4962*y**3 - 1750*y**3.\nAnswer: -8330*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*r + 15497 = -5840. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, u: 1, f: 2, i: 2, d: 1}. What is prob of sequence iy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 2*h**2 - 54*h + 274. Determine b(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 718\/(12\/(-30)*-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k = -5*q - 11, -1845*q + 1843*q + k - 11 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -42743, -42675, -42607, -42539, -42471, -42403?\n\"Answer: 68*l - 42811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12254983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2276 = 7*n - 2848. What are the prime factors of n?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 74482455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -268?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 131 - 44. Suppose s - y = -0. What are the prime factors of s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes after 9:15 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (39\/(-130)*10)\/(-6*(-4)\/(-160))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the third derivative of -f**5\/285 - 47*f**4\/228 + 437*f**2. Factor j(c).\nAnswer: -2*c*(2*c + 47)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, i: 2, v: 4, a: 1}. Give prob of picking 1 m, 2 a, and 1 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (30\/5)\/(1\/(-2)). Let u = n - -16. Solve 5*w + r - 5 = 0, -2 = -4*w + u*r + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -2*k**2. Let b(r) = -224*r + 1. What is b(g(a))?\nAnswer: 448*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-6)*-2 + 137\/(-273). Let u = b + 9\/13. Are u and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2586 is divided by 59.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*g**4 + 581*g**3 - 2*g**2 + 7*g + 107 wrt g?\nAnswer: -72*g + 3486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the second derivative of -1\/91*k**7 + 0*k**2 + 2*k + 0*k**3 - 2\/195*k**6 + 5 + 1\/39*k**4 + 3\/130*k**5. Solve g(i) = 0 for i.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1356*d + 326 = 1519*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 9\/10 of a microsecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the second derivative of -47 + 0*c**2 + 0*c**3 - 5\/12*c**4 + 2*c. Let x(m) = 16*m**2. Calculate x(k(f)).\nAnswer: 400*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (-7653)\/(-6)*(-1 + (-9)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3310 + 79349\/24. What is the common denominator of j and 9\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 2244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 493144961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 - 903?\nAnswer: -908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1110 and 1304805.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + 0. Suppose 0 = -8*d + i*d + 120. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(1539))**2 + 5.\nAnswer: 13856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-8)*(32\/12)\/(-4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*t**(1\/21)*t*t*(t**13*t)\/t assuming t is positive.\nAnswer: t**(337\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add 5052133684 and 0.1757.\nAnswer: 5052133684.1757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvu when three letters picked without replacement from vuvi?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the third derivative of 95*o**4\/12 - 239*o**2. Let c(a) = 7*a**2. Let f(p) = -p**2. Let x(u) = -c(u) - 6*f(u). Determine x(b(s)).\nAnswer: -36100*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = n - 35, -5*n - 4*o = -127 - 72. Let w = -48 + n. Is w bigger than -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -14  (b) 0.3  (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 3 - 6*d - 4 - 2 + 0*d. Let s be (-4)\/(-10) + (-12)\/5. Give n(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 58*r**3 - 82*r**3 + 2*r - 2*r - 15*r**2 wrt r?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 times -407476\nAnswer: -2037380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.364159 plus 0.4?\nAnswer: 6.764159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 20 = 2*y + y, l = 4*y + 27. Solve 9 = -l*q + 23 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 2 = 3*q. Let r(f) = 3 + 0 - 1 + q. Let m(a) = a**2 + 5. What is -4*m(x) + 5*r(x)?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-5*(sqrt(891) - -4*sqrt(891)*5 - (-2 + sqrt(891))*-4) + 5).\nAnswer: -180 + 4500*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 21\/2 of a millisecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2520432 divided by -4\nAnswer: 630108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/7 - 8748\/(-42). Suppose -7*f + 2 = -n. Calculate the remainder when 119 is divided by f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in 4\/9, -3\/5, 6, 2\/9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a minute in seconds?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 43252117*q**3 + q**2 - 30595160*q + 1 wrt q.\nAnswer: 259512702*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21296 - 21294. Which is the nearest to -2\/3?  (a) 68  (b) -3  (c) o  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4048 by -506.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.1 less than -10884645476175?\nAnswer: -10884645476184.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 272334550 is divided by 1468.\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 9 (base 11) to base 8\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the first derivative of 3 - 1\/10*r**3 - 1\/20*r**4 + 0*r**2 + 2*r. Let d(b) be the first derivative of i(b). Factor d(s).\nAnswer: -3*s*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7 - 7 - 12*t**5 + (-4 + 3*t**3 + 4)*(3*t**2 + 6*t**2 - 4*t**2) + 3*t**3 - 3*t**3 - 12*t**5.\nAnswer: -9*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 45 = 3*a. Let i = a + -7. What is the second smallest value in -5\/2, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4425195372 to the nearest integer?\nAnswer: 66522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**2 + 888*f + 51840.\nAnswer: -4*(f - 270)*(f + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 251 - 249. Sort 3, v, -4, -44.\nAnswer: -44, -4, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -6*y**3 + y**2 - 2. Let k be r(-2). Suppose -k = -5*p + 30. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*k = 5*k - 19266. Does 38 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 1 = -f. Suppose 5*t + 5 = -2*d + 1, f*t = -d - 4. What is the lowest common multiple of (2 + 1)\/(1 + 0) and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 3*h - 129, -3*h - 5*u + 129 = -0*h. Let w = -42 + h. Solve w = s - 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1191693909 to the power of 1\/3, to the nearest integer?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 266\/(-336) + (-4)\/(-6).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -3*i**4 - 2*i**3 + 4*i**2 + 2*i - 3. Let n(f) = 3 - 3 - 1. Let s(o) = -2*n(o) + p(o). Factor s(g).\nAnswer: -(g - 1)*(g + 1)**2*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes after 11:32 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 884 (base 10) to base 15\nAnswer: 3de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes after 7:43 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 7, i: 4, k: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = -4*q + 6. Let u = 7 + q. Let k be 10\/((-24)\/(-22) + u). Calculate the highest common factor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 105 and 294?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*a + 945*a**3 - 2*a**2 + 634*a**3 - 6*a - 1083*a**3 as x + r*a**3 + u*a + y*a**2 and give r.\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2256\/(-1410))\/((-4)\/10)*(-21)\/(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 3\/263  (b) -1  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 196, 1776, 6104, 14554, 28500, 49316, 78376, 117054?\n\"Answer: 229*q**3 - 23*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3393.990501 - -1.006501. Let q = s - -3415. Let n = 22 - q. Round n to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -28*g**3*p + 846255*g**3 - 2*g**2*p + 77*g**2 + g*p + g + p + 62 wrt g?\nAnswer: -168*p + 5077530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2957, 7703, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the second derivative of w**5\/20 - w**4\/3 + 2*w**3\/3 - 6*w. Factor a(m).\nAnswer: m*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8344674 milligrams to micrograms.\nAnswer: 834.4674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 - 53*j**2 + 237*j - 244. Calculate m(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9511870\/63 + -150961. Let l = 177\/7 - w. Calculate the common denominator of -16*2\/(-60)*(-11799)\/(-684) and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -39.4, -9 in decreasing order.\nAnswer: -3, -9, -39.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 233 and 1186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 2*c**2 - 19*c + 17. Let x(o) = 125*o + 2508. Let y be x(-20). Give j(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**2 + l. Let v(r) = 12*r**2 + 9*r + 17. Let t(h) = -4*h**2 - 3*h - 6. Let p(j) = 17*t(j) + 6*v(j). Let y = -14 + 9. What is y*u(n) + p(n)?\nAnswer: -n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13 by 680.\nAnswer: 13\/680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the third derivative of -p**5\/60 - 11*p**4\/24 - 11*p**3\/6 - 8*p**2. Let z be i(-6). Calculate the highest common divisor of z and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(3*(-3 + 1 + -2*sqrt(112)))**2 + -3.\nAnswer: -4071 - 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -37b6 (base 16) to base 12.\nAnswer: -8306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 1\/16 of a second?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the second derivative of 13*c**4\/6 - 2*c**3 - 50*c - 1. Find the second derivative of n(p) wrt p.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange t - 5*t**4 - 586*t**2 - 2 + 3 + 588*t**2 - 3*t**3 + 1 to the form v*t**2 + o*t**3 + p*t**4 + b + n*t and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = 9*b + 4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fg when two letters picked without replacement from fgggfgfggffg?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16386 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3255067 is divided by 92995.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**2 - 8*x - 10172. Determine p(105).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = v + 3*x + 4, 0 = 5*x. Let z(y) = 6*y**2 - y. Give z(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(117) + -1 + sqrt(13) + (sqrt(832)*2 - sqrt(832)).\nAnswer: -1 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*c**2 + 35*c**2 + 47*c**2 - 172*c**2 + 44*c**2 + c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - -2. Let h(w) = 0*w + 3*w**2 - 2*w**i + 0*w. Let a be h(1). Solve 0 = -s + 2*s + a, g - 2 = -s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6)\/9 - 22\/(-6). Differentiate -2*i + t*i - 1 + 2*i wrt i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*m + 304322 = 3*m + 304196 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -33 - -48. Let j = o + 11. Let n = j - 39.5. What is n rounded to 0 dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 > 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 985352560?\nAnswer: 2, 5, 389, 31663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -63, -69, 0, 2 in descending order.\nAnswer: 2, 0, -63, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -211 - -210.9479. Let z = 535 + -535.0754. Let b = z - m. Round b to 3 decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1373, -0.06, -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 961  (b) -3  (c) 0.3  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -58176.735 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2001, 7912, 17821, 31722, 49609?\n\"Answer: -n**3 + 2005*n**2 - 97*n + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 12:12 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 40067446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1*-1 - 1\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 715 is divided by 52.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.24  (b) -463  (c) 2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*f**3\/3 - 472*f**2\/3 + 1846*f\/3 + 2320\/3 = 0. Calculate f.\nAnswer: -1, 5, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -5*x + 2. Suppose -2*d = -9*d - 14. Let l be 3 + 0 - -1*(x + d). Solve 3*a - l*a = 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 360\/495 - (-40440)\/55. Which is greater: b or 1471\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 376846 + (-12*4\/8)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - q**2 + 3)*(63 - 63 + 68*q)*(2 - 10 + 9)*(0*q - 4*q + 3*q) to r*q + f + m*q**3 + a*q**4 + d*q**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 4, w: 1, s: 1, r: 5, g: 1, c: 1}. What is prob of picking 1 w and 3 r?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 271 + -235. Let b(x) = 2*x + 6. Let g be b(-6). Let t be ((-4)\/g + 2424\/f)*2. Calculate the highest common factor of 17 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - 17 - 11. Let q be 82\/10 + z\/(-70). Suppose 0 = -q*m + 74 + 158. Does 21 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4.87 - 0.13. Let d = -4800 + 4801. Which is smaller: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h - 6*h = -12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/3*42\/1680*-744?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20.1 + -17. Let w = 0.1 - q. Which is the third biggest value?  (a) 0.4  (b) -0.5  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -1849\nAnswer: -1\/1849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 0 - 2)*(-2*f - 5*f - 2*f)*(5*f - 4*f - 3*f)*(2 - 14 + 17) in the form p + c*f**2 + i*f and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 2\/9, -3, 21\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 15 = -4*k. Suppose -c = n + 12, -k*c + 2*c = 5*n + 45. Is -7 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 + 111\/(-6))*((-6)\/(-6) + -15). Calculate the highest common factor of z and 1947.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22, -4, 26, 68, 122, 188?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 278636258 and -456073?\nAnswer: 279092331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 - (2 - (-34)\/(-7)). Let i = 66.82 - 2.82. Let b = 64.4 - i. Sort -0.2, b, 3, f in descending order.\nAnswer: 3, b, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*p**2 + 4*p**3 + 10*p**2)*(-3 + 2 + 0).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 738756227 to the power of 1\/2, to the nearest integer?\nAnswer: 27180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -9\/6385090 at least as big as 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 10 + 4710\nAnswer: 4720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -36 + 33 - (-58 - -58 - ((2 - -74) + -1))\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.016 and -93.\nAnswer: 1.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**3 - 39*u**2 - 82*u + 107. Give k(41).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (20\/8)\/(3\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the second derivative of -1526*b**6\/15 - 1610*b**2 - 3150*b. Find the first derivative of v(k) wrt k.\nAnswer: -12208*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 44 - 19. Let v be c - 13 - (-1 + 3). Let i = 53 - 23. What is the highest common divisor of v and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 8734c - 38?\nAnswer: 87314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*b + 3 - 14*b + 105*b + 49*b.\nAnswer: 124*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*141617.\nAnswer: -283234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 748.77148 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25821262?\nAnswer: 2, 2531, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 224\/(-24)*(-3)\/2. Let b(q) = q**2 - 3*q. Let g be b(4). Suppose -g*l - 2 = -u. Solve 4*x = -4*k + 2*x - 20, -x - 15 = l*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(630)\/(-2*sqrt(10)) + 4.\nAnswer: -3*sqrt(7)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 + 14. Suppose -d*x = -152 + 47. Let o(k) = 2*k**2 - 1013*k - 7084. Let z be o(-7). What is the greatest common factor of z and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 231817?\nAnswer: 23, 10079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 27*g - 139. Determine n(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3592 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 158626926?\nAnswer: 2, 3, 29, 229, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m**(-7))\/m*m*m)\/(m**(-1)*m))**(5\/8)*(((m*m**(-2\/7))\/m)**(6\/29))**(-43) assuming m is positive.\nAnswer: m**(-947\/1624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 306, 733, -103\/8?\nAnswer: 733","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3284 a factor of 142561724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 131 + -129. Let v(c) = -c + 1. Let a(y) = -6*y + 11. Calculate w*a(g) - 14*v(g).\nAnswer: 2*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k**2 + 25 + 27 - 37 to f + o*k**2 + j*k and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add together 436 and -3.03521.\nAnswer: 432.96479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes before 4:56 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the second derivative of 1\/4*a**4 - 1\/20*a**5 + 0*a**2 - 2*a + 0 + 0*a**3. What is the third derivative of q(r) wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 872 is divided by 1960\/(-168)*36\/(-21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*x**3 - 34*x**2 + 2*x**3 - 12*x - 31*x**2 + 3*x**3 - 6*x**3.\nAnswer: 2*x**3 - 65*x**2 - 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2011024.9 less than -3.35593?\nAnswer: 2011021.54407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 78518*u - 2717. Let l(j) = -2755*j + 95. Determine 286*l(p) + 10*s(p).\nAnswer: -2750*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10281490 is divided by 114?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/4144 and -29\/17080.\nAnswer: 1263920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 628272781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -31 + 35. Suppose -2*i - r - 10 = 0. Let l be 1\/i*(4 + -3). Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*2*sqrt(204) + sqrt(204) - sqrt(204)) + sqrt(204) - (4*sqrt(204)*-2 - sqrt(204)))\/(-6*sqrt(36)\/sqrt(3)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -92\/5 or 1?\nAnswer: -92\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2619*x**3 - 1338*x**3 - 682*x**3.\nAnswer: 599*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -15*l**3 - 175*l**2 + 1135*l - 1385. Let x(a) = 8*a**3 + 87*a**2 - 572*a + 693. Let c(v) = 5*x(v) + 3*z(v). Suppose c(o) = 0. Calculate o.\nAnswer: -23, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 120703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (351*y - 11*y**2 - 2 - 343*y + 1)*(-5*y + 5*y + y).\nAnswer: -11*y**3 + 8*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2899, -2904, -2909, -2914?\n\"Answer: -5*a - 2894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 704550 divided by 33?\nAnswer: 21350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12844?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w - 12 = 0, 3*g = 4*w + 18 - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from {l: 3, z: 2, p: 1, a: 1, b: 3, n: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.1, -1.82, 1\/77, -121?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - -100101101110?\nAnswer: 100101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/21, 0.1, 3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 485877, 485876, 485873, 485868, 485861, 485852, 485841?\nAnswer: 485828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 301 or 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ypoyhhyyeeheeyphzp. What is prob of picking 1 y, 1 h, and 1 p?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 g, 1 r, and 1 m when four letters picked without replacement from {g: 5, b: 1, p: 1, r: 4, m: 1}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 15\/20*2*6. Suppose 0 = 3*m - n, 5*w = -4*m + 156 - 24. Calculate the highest common divisor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -131 - -10?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 57*m - 136*m + 56*m + 69*m + 794 + 919 - 12*m**2 with respect to m.\nAnswer: -24*m + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16106634 - 77308021. Let k = i + 61201413.0000052. Let j = k + -26. Round j to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10749 + -10748.4339. Round w to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 12:01 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 + 4*t**2 + 4*t + 2. Let d be z(-2). Suppose d*l + 2*l - 28 = 0. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 706984239?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1623996141 to the nearest integer?\nAnswer: 40299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -3 - -13 - (6 - -5) - (1 - -5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**2 + 10*f - 6. Let m be t(7). Let a = 38 - m. Suppose -7*w - a = -149. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -62*m - 17. Let v(o) = -62*o - 17. Let t(g) = 3*h(g) - 2*v(g). Let b be 12\/(2\/(-1)) + 44\/44. Is t(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 28 = l, -7*r - 97 = 1905*l - 1901*l for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4 and 1082883070?\nAnswer: 1082883074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 453 + -324. Let k = z - 127. Does 12 divide 6670\/69 - k\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -968, -973, -980, -989, -1000?\n\"Answer: -w**2 - 2*w - 965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of -z**4\/16 + 5*z**3\/12 - z**2 + z + 1. Factor b(d).\nAnswer: -(d - 2)**2*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (990\/220)\/((-3)\/2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.4 + 3.6. Let j = 8 - 7.7. What is the third biggest value in j, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y*y**(-1\/11)*y*y*y**8*y*y*(y\/y**(-2\/13))\/(y\/((y**(1\/2)*y)\/y)*y) assuming y is positive.\nAnswer: y**(3593\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1064, 1061, 1048, 1019, 968, 889?\nAnswer: 776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r - 6 = -9*r. Suppose 2*c + 12 = -r*c. Let u = -2 - c. Let p(d) = -d**2 - d - 1. Let i(z) = 2*z**3 + 6*z**2 + 6*z + 5. What is u*i(x) + 6*p(x)?\nAnswer: 2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -40 - 110. Let z = 130 - 128. Suppose -z*a = 3*r - r - v, -3*r = -9. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58618 is divided by 1628.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/9*(-56)\/56.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from bbyyobyoyy.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.0919 + -1.1819. Let h be -1 - (-2 + (-4)\/2). Suppose h = -0*z - 3*z. What is the biggest value in o, 5\/3, z?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 139940*m**4 - 57778 wrt m?\nAnswer: 559760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -4\/7, 5, -0.2, -8, -16\/13?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.5 from -1978.\nAnswer: -1978.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**25\/(a\/a**(-2\/3)) assuming a is positive.\nAnswer: a**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = -3*b + 1, -50*b - 7 = -52*b - 5*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*j**2 + 2 - 4 + 2*j**2 + (-71*j + 18*j - 29*j)*(-2*j + 0*j + 4*j).\nAnswer: -162*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 x when three letters picked without replacement from {d: 5, w: 3, f: 1, x: 2, t: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -11101000001011 (base 2) in base 14?\nAnswer: -55b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -4*2\/12 + 25\/15. Let n be q + (-2)\/(-13) - (-12)\/(-78). Let m = -4 - -16\/3. Is m at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3535714069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -39\/46 and -143\/6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 145 - 52 - 274*k - 46 - 47 in the form f + x*k and give x.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*u - 25 = -12*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4\/7, -6\/13, -1\/26, 1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -129*k**5 - 1425*k**4 - 2001*k**3 + 3393*k**2 + 162*k = 0.\nAnswer: -9, -3, -2\/43, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-7581)\/49*-7 + -8 is divided by 225?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 274704808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 13743 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**2 + 21*l - 17. Let z be d(-22). Sort z, -6, -2 in descending order.\nAnswer: z, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -2*z**2 - 3*z - 2. Let x be -4 + 1 + (-4 + 3)*2. Calculate c(x).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*k = -20*k - 105 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 45\/(-45)*(1\/(4\/32) - 81)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 5, -5, -4, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 2*j = -4*c + 28, 2*c = 5*j. Suppose 0 = k - 0*k + 2*x, k + j = -3*x. Calculate the highest common divisor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 AM and 9:26 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-24)\/(1 - 9\/6). Suppose 5*p - v = 12. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(1539)*-1 - ((sqrt(114) - sqrt(114)*-2*4)\/sqrt(6))**2.\nAnswer: -1538 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 1603 = 3*n - 601, -3*n + 2212 = -2*v. Suppose 5*o + 2*x - n = -3*x, -12 = 3*x. Calculate the remainder when o is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.003 + -0.111. Let s = l - 0.522. Round s to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3\/2  (b) -3  (c) 5\/47  (d) 332  (e) 4  (f) 0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -467 (base 10) in base 4?\nAnswer: -13103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5630585?\nAnswer: 5, 89, 12653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 10:05 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 2*y + 66. Let r be k(-8). Suppose 0 = 39*t - 44*t + r. Solve -3*q - 13 = -s, -4*s - 2*q = -0*s - t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6731953 millimeters in kilometers?\nAnswer: 0.0000006731953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.23 and 0.16.\nAnswer: 0.0368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 6, 5, 203, 0 in decreasing order.\nAnswer: 203, 6, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 125 - 5?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -168, -437, -632, -717, -656, -413?\n\"Answer: 6*x**3 + x**2 - 314*x + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3*(-4)\/96 - 2609\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 370 = -4*r, 2*y + r - 246 = -r. Suppose 0 = -3*p - 20 + y. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 773, 741, 719, 707, 705?\nAnswer: 713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -41.6 - -41.9. Let r = 33 + -67\/2. What is the nearest to r in -3, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5*(-6)\/(-75))\/(18\/(-5))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6502950.2833 take away -4?\nAnswer: 6502954.2833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 8*w - 82. What is the tens digit of j(23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9728 = -5715*x - 5915*x + 11478*x for x.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -2, -11, -1.\nAnswer: -11, -10, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 271725953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00117239986 rounded to five decimal places?\nAnswer: 0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n**3 + 0*n**3 - 11*n**3)*((1 - n - 1)*(2 + 2*n - 2) + 32*n - 32*n - 5*n**2).\nAnswer: 63*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/1834 and 137\/6342?\nAnswer: 830802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -3) + (7 - 2) + -27 - -7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -7*q + 2. Does 12 divide k(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -997 - -78. Let q = p + 1300. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand 3*c**5 - 3*c**5 + 2*c**5 + (2*c**4 - 2*c**4 - c**4)*(25 + 0*c - 3*c - 24).\nAnswer: 5*c**5 - c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -13 + 143*r - 36*r + 13 in the form h*r + c and give h.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49 + 20 + 26 + 5*z**3 - 95.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 12\/11, -12\/7, -14 in ascending order.\nAnswer: -14, -12\/7, -0.4, 12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8664 by 31.\nAnswer: 8664\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2710278036.\nAnswer: 2, 3, 101, 419, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -k*o**2 - 349*k*o + 504*k with respect to o.\nAnswer: -2*k*o - 349*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13803*x - 216 = 13785*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -60*t + t**2 + 24*t + 25*t - 2*t**3 to b*t**3 + l + w*t + k*t**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.25 + 12.25. Let s = 18 - v. Let c = -13 + s. Is c less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (9 + -14 - -16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s - 3*s + 2 = 0, 3*d = -2*s - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 150469854 divided by -2166\nAnswer: -69469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in -2\/553, 1.8, 3?\nAnswer: -2\/553","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130808 is divided by 206?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -75, 316, -1, 5, 875 in decreasing order.\nAnswer: 875, 316, 5, -1, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**2 + 17*w + 32. Let n be s(-15). What is the units digit of (12\/(n + 0))\/((-3)\/(-54))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 145838267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 4*h**3 - 6*h**2 + 5*h - 17. What is the remainder when u(5) is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10308\/126*27*140\/30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 15506 + 15508 = q, g - 4*q = -13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**3 + 64*u**2 - u + 160. Let h be g(64). What is the highest common divisor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.68 + 1.6. Let i = -0.177 + 3.257. Let r = i + p. Which is the second smallest value?  (a) -3  (b) -4  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2391 divided by 354\nAnswer: -797\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 226 divide 22943631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 5 = 5*y, 2*y + 2*y - 36 = -4*m. Suppose 2*d = i, -47 + 122 = y*i + 5*d. Solve -i = -5*j + 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*l - 12 = 19*l - 0*f - 4*f, 2*l + 3*f + 1 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.9 - 4. Which is the closest to -1?  (a) 1\/3  (b) d  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 - 2*r + 3. Is 3 a factor of l(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the first derivative of -634*a**5\/5 + a**2 + 133*a - 1207. Find the second derivative of d(w) wrt w.\nAnswer: -7608*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -23463 + -242510?\nAnswer: -266303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 377 + -125. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 133 - 63. Round m to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20694*j**3 + 10344*j**3 + 2 - 2 + 10345*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -2*y**2 - y - 2. Let w(d) = -6*d**2 - 3*d - 6. Let u be (3 + 3\/(-2))*2. Suppose 0*j + 1 = z + u*j, -4 = 2*j. What is z*p(r) - 2*w(r)?\nAnswer: -2*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13795 + 14813. List the prime factors of p.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -3*f. Let y = 18 + -18. Let g(n) be the third derivative of y*n + 0*n**3 + 0*n**4 + 0 - 1\/60*n**5 + 3*n**2. Give l(g(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1107.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 3*k - 12818, -49*k + 6410 = g - 48*k. List the prime factors of g.\nAnswer: 2, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 + -3. Let q be 1 + (-1)\/l*0. Solve c - 2*v = -q, -v + 2 = -2*c + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 t when three letters picked without replacement from {t: 7, k: 3}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 365744, 9 in descending order.\nAnswer: 365744, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3 + -1)*90\/36. What is the nearest to -1 in 7, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.63927 millennia in decades?\nAnswer: 2963.927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**2 + 4*l - 6. Let p be z(5). Suppose 100 = -2*t + 6*t. Let g = p + t. Calculate the greatest common divisor of 126 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -26745585 less than -26745588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 72\/81*-2*1\/(-4)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 835*l**2 - 18*l + 110. What are the prime factors of n(5)?\nAnswer: 3, 5, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 4*q**2 - 2*q + 1. Let s(n) be the third derivative of n**2 + 1\/6*n**3 + 0*n - 1\/60*n**5 - 1\/24*n**4 + 0. Let p be s(0). Determine k(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2462690.61762 - -2462654. Let d = -372.58942 - y. Let t = 336 + d. Round t to 3 dps.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*p**4 - 5*p**4 + 3*p**4 + (5*p**4 - p**4 - 2*p**4)*(4 + 3 + 38) in the form y + d*p + z*p**3 + j*p**2 + f*p**4 and give f.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2776?  (a) 0.3  (b) -3.9  (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 0 - (-7 + 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q - 72. Calculate a(36).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = w - 77 + 72 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 12*a**2 + 27*a. Let q(c) be the first derivative of -1 + c**2 + 1\/3*c**3 + 0*c. Suppose 109*w - 114*w = -135. What is w*q(l) - 2*y(l)?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((2*sqrt(1200) + sqrt(1200))\/sqrt(6))\/((sqrt(4) - -5*(sqrt(4)*2 - sqrt(4))) + ((sqrt(8) + -2*sqrt(8))\/sqrt(2) + sqrt(4) - sqrt(4))))**2 + -4.\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4772 at most -1554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6563061798.\nAnswer: 2, 3, 41, 2647, 10079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(144) - (3*sqrt(144) + sqrt(144)))\/(sqrt(243) - (sqrt(243) - sqrt(243)*-4)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 2*m = -2*c + 318, -c - 2*m + 165 = 0. List the prime factors of c.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**2 - 42. Let b be p(0). What is the tens digit of (b\/9)\/(8\/(-300))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 5*w - 4. Solve -2*k + 10 = d + d, 2*k = w*d - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 357386 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 4*k - 39. Let q(r) = 4*r - 39. Let b(l) = 7*q(l) - 6*u(l). Let s be b(12). Solve 2*o = z - 3, 0*z - s = z + 2*o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -17411723, -34823445, -52235167, -69646889, -87058611?\n\"Answer: -17411722*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 438919 and 1482?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 94719, 94406, 94093?\nAnswer: 93780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 100704  (b) 1  (c) 2\/5  (d) 1\/2  (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 13734000 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1411\/42 - 205\/6. Let z = -6.16 - -0.16. Put z, h, -1\/3, 0.4 in increasing order.\nAnswer: z, h, -1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of 0 + 2\/15*i**6 + 4*i + 0*i**2 + 1\/4*i**4 + 0*i**5 + 0*i**3. Find the third derivative of h(w) wrt w.\nAnswer: 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w + 2 - 1 + 2)*(-2 + 2 - w)*(w**3 - 8*w**3 + 2*w**3).\nAnswer: -10*w**5 + 15*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -10*x - 166. Let i = -22067 + 22051. Calculate t(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 3 = 3*d, 2*q - 36 = -4*d + 5*d. Solve 2*g = 9*g - q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.24 - 0.06. Let p = 0.3 + -0.2. Which is the third smallest value?  (a) 1\/2  (b) p  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:48 AM and 10:12 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13389.\nAnswer: 3, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, k: 12, w: 4, g: 1}. Give prob of picking 1 w and 3 k.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -73*h**3 - 2*h**2 + 23*h**3 + 7*h**2 - 3*h**2.\nAnswer: -50*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10 and 370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:17 PM and 5:21 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 438.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are 19810 and 19677 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the second derivative of 7*v**6\/30 - 3*v**5\/20 - v**4\/2 - 7*v**3\/6 + 78*v. Find the third derivative of j(u) wrt u.\nAnswer: 168*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2 - 4. Let t(n) = -n**2 - 3. Let f(q) = 3*j(q) - 4*t(q). Let w(r) = 4*r**2. Give f(w(o)).\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the first derivative of -9*m**5\/5 - 8*m + 4. What is the first derivative of f(h) wrt h?\nAnswer: -36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0797 + 2.2.\nAnswer: 2.2797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2131 - 2130.7. What is the closest to -28 in 0.1, -1, n, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-24)\/(-132) + 4*10\/22. Let h(j) = 4*j**2 + 17*j + 8. Let u(b) = -b**2 - 4*b - 2. Give v*h(s) + 9*u(s).\nAnswer: -s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -4*h + 216*w - 212*w, -19 = -h - 4*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 2*y**5\/3 - 992*y**4 - 78392*y**3\/3 - 508756*y**2\/3 + 26130*y + 511732\/3 = 0.\nAnswer: -13, -1, 1, 1514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*l - v + 58 = 32*l, 3*l + 0*l - 73 = 3*v - 232 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -86102 minus 41?\nAnswer: -86143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 14*w**2 + 8*w + 17. Let z(r) = -5*r**2 - 3*r - 6. Let h(s) = 6*y(s) + 17*z(s). Let b be h(-3). Suppose b = -j + 8. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1087 divide 8107342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -27, 1, 17 in increasing order.\nAnswer: -27, 0.4, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the second derivative of -1\/90*v**5 - 1\/2*v**2 + 0 + 2*v + 0*v**4 + 0*v**3. Let b(a) be the first derivative of z(a). Let b(p) = 0. What is p?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12839a (base 11) in base 6?\nAnswer: -4152353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1315906412 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 213 - 127. Suppose -3*s = -79 - i. Let k = -33 + 61. What is the remainder when s is divided by k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1867239\/23 or 81183?\nAnswer: 81183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*h**4 + 288*h**3 + 4220*h**2 - 28800*h = 0. Calculate h.\nAnswer: -45, -32, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (-3 + -1 + -3) - -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11346557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the first derivative of l**6\/1620 + l**5\/90 + l**4\/12 + l**3\/3 + 3. Let r(t) be the third derivative of x(t). Determine i so that r(i) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from ooooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 3)*(i**4 - 3*i**3 + 3*i**3)*(-265 + 10*i + 265).\nAnswer: -10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**2 + s + 13. Suppose 0*p = p. What is the tens digit of y(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1771 to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 10\/19, -1, -5, 0.2, -2.6 in decreasing order.\nAnswer: 10\/19, 0.2, -1, -2.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes after 2:35 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -488*d + 60*d - 3*d = -9913 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 4*f = 3*p - 65, -2*p = -4*f - 14. Solve p = 5*j - 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((420\/(-25))\/(-14))\/((-20)\/((-72800)\/84)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -28.1, -0.14, -1?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence onff when four letters picked without replacement from {o: 1, n: 4, x: 1, f: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 102449 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3782*t + 80418 - 31252 = 0 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2230479 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 140096722 or 140096720?\nAnswer: 140096720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/2574 and -109\/215280.\nAnswer: 2368080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 4*v = 2*g - 2, -3*g = -5*v + 16. Calculate the lowest common multiple of 8 and v\/(-1 - -4*3\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -37757\nAnswer: 1\/37757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00075179768 rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 31880238\/105985 + 10\/21197. Let v = 11008\/35 - o. Are v and 14 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11.697682 - -0.698222. Let v = -12.2 + 1.2. Let j = a - v. Round j to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 + 8. Let p = g - 1. Sort 4, -1, p in ascending order.\nAnswer: -1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 5, -q + 326 = 2*q - 4*v. Suppose -3 = -4*h + 5, -5*n = h - q. Let z = n + -9. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3813081*q**4 + 6931*q**2 - 209?\nAnswer: -91513944*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -3*s + 0 + 2 + s**2 - 3*s**2. Let z(g) = -3*g**2 - 3*g + 3. Let c = -136 - -140. Suppose 8 = -2*i, -4*i = c*k + 40 - 8. Calculate k*z(n) + 5*y(n).\nAnswer: 2*n**2 - 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q + 2. Let u be s(3). Let f(j) = 2*j - 8. Let c be f(u). Solve 2*g + 8 = -c*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 27*b**5\/4 - 1163*b**4\/4 + 2303*b**3 + 3017*b**2 - 5420*b + 384 = 0?\nAnswer: -2, 2\/27, 1, 12, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4\/479 - 22497\/1916. Calculate the common denominator of j and 25\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 47 = 4*q + 197, 61*y = 65*y + 3*q + 125 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -558224 by -1004.\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14157.86954 + -14158. What is y rounded to three decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (24\/(-7))\/((-6)\/14 + (-43602)\/(-101766)).\nAnswer: 2, 3, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-12\/11)\/(x*x**(-15)))\/(x\/x**(-2\/63)*x**(-5)))**31 assuming x is positive.\nAnswer: x**(362576\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -934*o**3 - 214*o + 214*o.\nAnswer: -934*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:36 AM and 5:09 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 + (-9010)\/(-6))\/((-12)\/(-78)). Let t = -9752 + g. Find the common denominator of -67\/26 and t.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -66557 - -66557.00000081227. Round t to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -151420, -151317, -151036, -150487, -149580, -148225?\nAnswer: -146332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 4 = 3*a - 2*g, -3*g + 7 = -a. Suppose -a*l - 30 = -f, 4*l = -f + 5*l + 26. Calculate the highest common divisor of f and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16 + 52. Suppose -4*b = 4*l - y, -3 = -b - b + l. What is the remainder when 28 is divided by -2 + (b - 1) + 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01209268922 to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 4260449, 4 in descending order.\nAnswer: 4260449, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-1*11\/55.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + 283?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1780 (base 10) to base 2\nAnswer: 11011110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**2 - z + 1. Let p(j) be the first derivative of -5*j**3\/3 - 9*j**2\/2 + 6*j + 4. Let x(b) = p(b) - 6*u(b). List the prime factors of x(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 212a3dc8 - -5?\nAnswer: 212a3dcd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -4*x**5 + 280*x**4 + 14300*x**3 - 1014000*x**2 = 0.\nAnswer: -60, 0, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-1)\/(-2))\/(1\/6). Suppose -2*j + c*j - 12 = -2*t, -3*j = 3*t - 21. What is the second derivative of s**5 - s**5 + s**t + 2*s wrt s?\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 5 = b. Let t(a) = 5*a - a**3 - b - 5*a**2 - 5*a. Let s be t(-5). Which is smaller: -5 or s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00023514737 to six dps.\nAnswer: 0.000235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 258284 - 258284.067. Let f be (-3)\/5 - (2 - 2). Which is the third biggest value?  (a) -3  (b) f  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -29 - -19. Let d = 31\/14 + -251\/77. Calculate the common denominator of d and (-778)\/(-180) - 4\/a.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -2*d**2 + 15*d - 16. Let g be x(10). Let n = -29 - g. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1\/52 + 215\/364. Factor 1\/7*a**2 + c*a**4 + 0*a - 5\/7*a**3 + 0.\nAnswer: a**2*(a - 1)*(4*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-five quarters of a gram in milligrams?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 129 - -10. Let z = o + 6. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l - 1. Let i(z) be the third derivative of 0 + 0*z - 1\/60*z**5 - 1\/6*z**4 + 4*z**2 + 2\/3*z**3. What is i(p) + 2*w(p)?\nAnswer: -p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -228463040 divided by -130.\nAnswer: 1757408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1040)\/585*27\/(-315)*-1*-15?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 37 + (-354 - -137) - -59.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**3 + 6*l**2 - 4*l - 7. Suppose g - 3 = -1. Suppose -g*v = x - 13, -x - 4*x = -3*v. Calculate u(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**2 - 23*u - 43. Let g(z) = 9*z - z + 646 - 632. Let l(y) = 7*g(y) + 2*v(y). Factor l(j).\nAnswer: 2*(j + 2)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -24*b - 10 + 34 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 213787 (base 9) in base 13?\nAnswer: 46051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 + 398?\nAnswer: 39a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 154362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 38809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + ((-1)\/(-80))\/((-1122)\/(-306) + 38972\/(-10632)).\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -46*y**4\/11 + 1878*y**3\/11 + 8838*y**2\/11 - 8870*y\/11 - 1800\/11 = 0?\nAnswer: -5, -4\/23, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 1153*r - 2491. Let b be i(-8). Which is smaller: b or -11713?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 976 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -68*r**5 + 9453*r**4 - 358635*r**3 + 2006920*r**2 + 2340228*r - 34848 = 0?\nAnswer: -1, 1\/68, 8, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -15*p**3 - 21*p**2 - 16*p. Let m(u) = -3*u**3 - 4*u**2 - 3*u. Let z(l) = -2*l**3 + 3*l + 1. Let o be z(-2). Determine o*m(x) - 2*j(x).\nAnswer: -3*x**3 - 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of -2*p**6\/5 + 13*p**2 + 13*p. What is the derivative of g(a) wrt a?\nAnswer: -48*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 15062*i**3 - 1964.\nAnswer: 45186*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 - (1 - 2*2). Suppose u*j - 1 - 23 = 4*w, -j - 5*w = 6. Suppose -6 = -2*b - i, -3*b + 6 = 2*i - 3. Solve -x = b*x + j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -471 (base 14) in base 5?\nAnswer: -12013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 - -9. Suppose -7*z = -128 + 128. Which is the nearest to z?  (a) -0.4  (b) -0.3  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*t = 6431 + 3335. Let y = -509 - -269. Let h = y - t. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the third derivative of 11*r**2 + 1\/20*r**6 + 0*r - 1\/60*r**5 + 0 - 1\/24*r**4 + 0*r**3. Calculate z(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -3*p - 110. Suppose j - 6*j + p = 0. Let y = 14 + 16. Calculate the remainder when y is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -659660 times -0.1\nAnswer: 65966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5356 + 5384 = 28*p. Let n(r) = -4*r**2 + 6*r + 6. Let s(l) = -l**2 + l + 1. Let y be (3 + 0)*4\/(-2). Calculate p*n(t) + y*s(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-398)\/(-995) - (-10146)\/(-165) - (0 + 3\/(-33))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 134*t + 987 - 159 + 244 = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/10  (b) 3.5  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5832*d**2 - 5829*d**2 + 2*d**4 - 2 + 5 - d**3 to the form t*d**3 + q*d**2 + r*d + j + h*d**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**3 - 32*k**2 - 49*k + 1231. What is n(8)?\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1\/2, 5, -121, -26, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (((-6)\/(-14))\/((-326)\/1141))\/(8 + (-908)\/112)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes after 5:58 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117)\/sqrt(3)*3 - sqrt(39))\/(1*sqrt(243)).\nAnswer: 2*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 + (53 - 82) + -43.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -51, -45, -37, -21, 9, 59?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -13827822614 from 2.\nAnswer: 13827822616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) 2\/5  (c) -27\/136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the second derivative of u**5\/20 + 2*u**4\/3 + 2*u**3\/3 - 7*u**2\/2 + 2*u. Let p = 63479 + -63486. Determine y(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 103*j + 241808 - 241808 - 19*j**3.\nAnswer: -19*j**3 + 103*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 29*k - 4060. Determine o(127).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2475 and 792.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 82216974.\nAnswer: 2, 3, 7, 1957547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5 - -11)*-1*-8. Suppose 2*z + 4*n - 56 = 0, g = 3*z + n - 56. Calculate the highest common factor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/(2 - (1 + -1)). Suppose 3*d - 15 - 21 = s. Suppose d + 6 = 3*f. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -10*j - 970. Let g = j - -293. Suppose -24 = 3*i - g. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 2 = -2*h - 3*i, -2*h - 5*i = 6. Suppose 0 = m + h*m - 108. What is the highest common divisor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o - 13. What is q(-7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (0 + 1) - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 44111189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1047755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(208\/(-13))\/(-32)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 298 = 3*y - 5*b, 16*b = -5*y + 17*b + 526. Factor -5*k**2 + 46 + 37*k + 46 - y.\nAnswer: -(k - 7)*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*r**5 - 5*r**3 - 25*r**2 + 155*r + 164 wrt r?\nAnswer: -80*r**3 - 30*r - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 52.87 + -55. Let y = -0.13 - x. What is the third biggest value in 3, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 39\/110 and 41\/374?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*l - 152 = 4*l. Let d be -10*(-23 - 2) - (-1 - -4). Calculate the greatest common divisor of l and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21093497.\nAnswer: 317, 66541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**2 + 6*u + 2. What is w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1935 and 77787?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 32 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 + 10 + 11 - 2*f**2 - 5.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -19*r**2. Let a(t) be the second derivative of -t**4\/6 + 1563*t. Determine x(a(q)).\nAnswer: -76*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -359.017061 take away 6?\nAnswer: -365.017061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, 3, -1.4 in ascending order.\nAnswer: -4, -1.4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**2 + 711*p + 17677. Calculate t(-24).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 179 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -7\/36164 < 5\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 272*f - 42*f - 35062 = -516*f for f.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-3)\/((-108)\/(-456)))\/(2\/(-12)). Solve 72*m = o*m + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -78, -83, -88?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.05 times -8.9\nAnswer: 0.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*g + 46*g = -1053. Calculate the highest common divisor of g and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 373592818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 2*i + 16. Let z be g(-10). Let k be (9\/12 + -2)*z. Suppose -v + 87 = -k*w, -5*w = -5*v - 2*w + 391. Calculate the highest common divisor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(108))*4.\nAnswer: -4 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10260 - -78435. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (27\/(-6) - 9\/(-3))*-36.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -371019.01 rounded to the nearest 100?\nAnswer: -371000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -73a (base 11) in base 4?\nAnswer: -31322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 202436097 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 12398569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 4*r + 2*r - 2*r. Let s(w) = w - 9. Let t be s(11). Let b(d) = d**t + 72 - 72. Calculate a(b(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 4136+-7186863\nAnswer: -7182727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -103781, -207535, -311275, -414995, -518689, -622351, -725975?\nAnswer: -829555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 238421.\nAnswer: 31, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 12*z - 3. Let o(g) = -11*g + 2. Let b(l) = -4*o(l) - 3*t(l). Determine b(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-26)\/13)\/(-12))\/((-108)\/(-1368))*-3?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3\/8)\/((-9)\/6). Let j = 31.52 + -31.62. Suppose o = -l - 4, -4*l + l = 9. Which is the nearest to j?  (a) n  (b) o  (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.6 + 0.6. Let c = w + -0.0000002. Round c to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4 + 31 + (-1 - (4 + -3)). Suppose 21*s - u*s - a = -1819, -a = 5. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 10 - 2*p - 1 + 3*p. Calculate l(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 36*q**4 + 28956*q**3 + 5812909*q**2 - 3884930*q + 648025.\nAnswer: (2*q + 805)**2*(3*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15) - (sqrt(15) + (sqrt(1215) - (sqrt(1215) - (-1*sqrt(1215) + sqrt(1215)) - sqrt(1215))) - sqrt(15) - sqrt(15)))\/(sqrt(80)*2).\nAnswer: -7*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -12  (c) -0.05  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:09 PM and 1:37 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*p**2 - 3*p**4 - 10*p**2 - p**3 + p**4 to the form f*p**2 + x*p**3 + u + i*p + l*p**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1016 and 1270?\nAnswer: 5080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 36276 = -2*j, 5*j + 5515 = 3*b + 96157. Is j a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 0 - 2470949*z**3 - 1789312*z**3.\nAnswer: -4260261*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -2*p + p - 14, -2*r + 5*p = 35. Which is the biggest value?  (a) 2\/7  (b) -1\/3  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (-8 - 1 - (-3 + 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (42*r + 1 - 87*r + 18*r)*(0*r**2 + r**3 - 3*r**2 + 4*r**2).\nAnswer: -27*r**4 - 26*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/48*6*(-4)\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 17 - 6 = -5*j, -4*u = -3*j + 23. Let x(q) = 3*q + 7*q + 6*q - 5*q - q**2 - j. What is the remainder when x(9) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 3)*(-2 + 2*t + 2) + (0 + 0 + 1)*(-3 + t + 3) + (-t - 3*t + t)*(2 - 5 + 2).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**3 + 3*c**2 + 5*c - 1. Let j be a(4). Let o be (4\/j)\/((-8)\/(-96)). Calculate the greatest common factor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -5. Let s be (-18)\/(-4)*u + 1. Solve -s = 3*x - x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -2*u. Let j(w) be the first derivative of 0*w + 0*w**2 - 4\/3*w**3 - 5. What is c(j(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25, 47, 69, 91, 113?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -6*x**2 - 103*x - 14. Let d be f(-17). Solve -4*u = -20, 32 = -0*j - d*j + 4*u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, a: 4, c: 2, b: 4}. Give prob of picking 1 b and 2 a.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 102339679723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the second derivative of n**4\/12 + 11*n**3\/6 - 24*n**2 - 15*n. Let x be b(-14). What is the tens digit of -3*(-4)\/(-8)*428\/x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-9)\/6)\/((-57)\/190). Suppose -683 = -4*t + k, 0 = -3*t + c*k + 491. What are the prime factors of t?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**3 + f**2 + f + 8. Let g = -42 - -42. What is the lowest common multiple of a(g) and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and 221513.148.\nAnswer: 110756.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 1653471136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 6*z + 6. Let k be h(0). Let g be ((-1)\/k)\/((-6)\/12). What is the second smallest value in -1\/15, g, -1?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5900 divided by 295\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22 by -4.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2125 and 1479.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-12\/7)*c**(-7) assuming c is positive.\nAnswer: c**(-61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ysssysss. Give prob of picking 3 s and 1 y.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 54 + -51. Let t = 1.2 - 1. What is the closest to 1 in 0.5, h, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -14*q**3 - 640*q**2 + 201*q + 769. Determine n(-46).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-23)\/(-5) - (0 + 4). What is the closest to -2 in 0.4, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3968058736 to the nearest integer?\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u**2\/3 + 1303*u\/3 - 273608\/3 = 0. What is u?\nAnswer: -1487, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 8556 = 8*o - 6708. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1190, 2402, 3626, 4868, 6134, 7430, 8762?\nAnswer: 10136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -120*m**2 - 135*m**2 + 296*m**2.\nAnswer: 41*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**2 + 13. Let k(p) be the third derivative of 7*p**4\/24 + 357*p**2. Determine a(k(j)).\nAnswer: -49*j**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1071)\/102*(1 + 0 - (-3)\/(-1)). Solve 45 - h = 4*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1098 + 605. Let o = -282 - t. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ns when two letters picked without replacement from {s: 5, q: 8, n: 5}.\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**0)**5*((t\/(t*t**(-2\/7)\/t)*t)\/t)**(-30) assuming t is positive.\nAnswer: t**(-235\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 76, 322, 732, 1306, 2044, 2946?\n\"Answer: 82*o**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of -2*p**5\/5 + 256*p**3\/3 - p**2 - 11*p + 891. What is the second derivative of x(v) wrt v?\nAnswer: -24*v**2 + 512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -3842 and -88.9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.00942, -3, 37?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16855?\nAnswer: 5, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 364 and 8008?\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 164*c + 151*c + 47*c - 3258 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4527\/22435 - -8\/4487. Suppose 0*n = -3*n. Which is the second smallest value?  (a) -5\/2  (b) 0.091  (c) n  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -z**3\/3 + 19*z**2\/3 + 14*z = 0.\nAnswer: -2, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-31)\/(-2)*8\/208. Let g = u - -2\/13. Let p = -5 - -4.6. What is the closest to -2 in p, g, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -10\/177 and 70\/33.\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -2 - 1 - (-26 + 6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -64*f**3 - 3*f**2 + f + 4. Let b(m) = -65*m**3 - 2*m**2 + m + 3. Let i(r) = 4*b(r) - 3*o(r). List the prime factors of i(-1).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -850*m**2. Let r(z) = 23*z**2. Calculate 221*r(w) + 6*x(w).\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -3*t, -126*x + 18 = -125*x + 3*t for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*t + 140 - 134 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -39 - n**2 + 36 + 2*n**2 + 12*n + 42 - 55. Suppose -4*b + 79 = -77. Suppose 2*l = -l - b. Calculate o(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/35, 8, 0.5, 2\/5, -1, -1\/4 in descending order.\nAnswer: 8, 0.5, 2\/5, 4\/35, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3474, -6947, -10420, -13893?\nAnswer: -17366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.9 * -26.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 144\/64*(21 + -1) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes after 8:39 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79031073.\nAnswer: 3, 11, 2394881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24 + -12. Let y be 82\/6 + (-8)\/h. Solve 4 = r + 4*m + 15, r = -5*m - y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 415855 is divided by 304.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -2*s. Let g(m) = 3*m**2 + 5*m**2 - 6*m**2. Calculate w(g(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 2, 4, -0.509607, -0.1 in descending order.\nAnswer: 4, 2, -0.1, -0.509607, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 31 + -14. Solve 2*z - 7 = -a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14990 is divided by 33.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2706 and 26577.\nAnswer: 23972454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 5 = g, 3*g = -2*h - 2*g + 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 5:26 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 592520.4 weeks in minutes?\nAnswer: 5972605632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 677882879 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 2*h = -2*h + 4, h + 2 = 0. Let z be (t\/4)\/((-5)\/20). Let a(q) = q**2 + 4*q + 4. Calculate a(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11.886 + -7.886. Which is the fourth biggest value?  (a) t  (b) -0.2  (c) 0.2  (d) 787\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((1*sqrt(66)*-1)\/((sqrt(24) - sqrt(96) - sqrt(24)) + sqrt(24)))**2.\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-4*sqrt(7)*-3*4.\nAnswer: 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 90168 a multiple of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(-3\/4))**(1\/36) assuming n is positive.\nAnswer: n**(7\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(208)*-2*6 - 1*(sqrt(208) + sqrt(208) + 0) - (-2*sqrt(208) + 1 - (-2*sqrt(208)*3 + sqrt(208)))) + 0)**2.\nAnswer: -544*sqrt(13) + 60128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 133\/18 and 73\/71628.\nAnswer: 214884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2*s)*(3 - 3 - 2) - 2*s + 6*s - 2*s + (20 - 31 + 15)*(-41*s - 21 + 21) + (-6 + 3 + 4)*(-2*s + 0*s + s).\nAnswer: -167*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26 + 26 - 28*m + 76*m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 595063?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14 and 1416?\nAnswer: 9912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 89408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-i + i + 3*i)*(226*i + 230*i - 28*i**2 - 501*i + 2) - 5*i**3 - i**3 + 5*i**3 in the form p*i**3 + g*i + h*i**2 + s and give h.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 32*i + 25775 + 17553. Let b = -96136\/71 - i. Is 0 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the second derivative of -13*b**4\/12 - 69*b. Let w(g) = 3*g. What is p(w(z))?\nAnswer: -117*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -5*k**3 + k**2 - 2*k + 5. Let v(c) be the second derivative of c**5\/5 + c**3\/6 - 2*c**2 - 6034*c. Calculate 2*j(b) + 3*v(b).\nAnswer: 2*b**3 + 2*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**2 - k + 321. Let b be q(0). Is b - (3 - 1\/(-1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 1 - 223*m**2 + 158*m**2 - 5 - 222*m**2 - 32*m.\nAnswer: -287*m**2 - 32*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-24)\/(-10))\/((-3)\/(-40)). Let p be ((-6)\/4)\/((-24)\/g). Let -o**4 - 4*o**3 - 3*o**5 + 5*o**4 + o**5 + p*o**4 = 0. What is o?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 40 = h. Let n = 9 - h. Is (-11 + 12)*(212 + n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -32345395*b**4 + 46*b**2 - 69023*b + 3.\nAnswer: -776289480*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10688 and 22712?\nAnswer: 181696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 23*w - 5*w - 4*w + 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:04 PM and 5:13 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 93283428 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1274\/(-2826) - (-2588)\/5823?\nAnswer: -1\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1.15373 from -1.2.\nAnswer: -0.04627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -3, 4, -5 in increasing order.\nAnswer: -6, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -2*y**3 + y**2. Let j be c(-1). Suppose 4*s - 5*z = 9878, -3*s + 5*z + 7405 = j*z. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 20*n - 25*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -4*g. Suppose g = -11*x + 13*x. Suppose x = -2*r + 4*r - 72. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 104.093 and -83.\nAnswer: 21.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -190 - -15?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 5657 - 913 = 0. Determine u, given that 864*u**2 + 2048 - 106*u**3 - p*u - 2*u**3 - 1209*u = 0.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-2\/17))**(1\/11))**(-6\/17) assuming t is positive.\nAnswer: t**(12\/3179)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xuz when three letters picked without replacement from xuoxozp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the second derivative of k**3\/6 + 3*k**2 - 4*k. Let u be m(-6). Solve 6 = r + 2*i - 0*i, -5*r + 5*i = u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 12248?\nAnswer: 36744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.368 times 2283615?\nAnswer: 840370.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 45840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzo when three letters picked without replacement from uszuuzsuuususuuuuou?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 115*k. Let r(x) = -12*x + 7*x + 4*x + x + 2*x. What is r(g(z))?\nAnswer: 230*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -28 + (-87 - 8 - -185)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 6*y - 53853 - 9600, -3*w - 10585 = -y. List the prime factors of y.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22 + -15. Let o = 7.5 - q. Which is the nearest to 1?  (a) 1\/5  (b) -1  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3 - (3 + 20)\/(-3 - -2). Let i(p) = -p**2 - 11*p - 30. Let r be i(-6). Sort 4, r, k.\nAnswer: r, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2191286*h**3*y**3 - 6439265*h**3*y**2 + h**2*y**3 wrt y?\nAnswer: -13147716*h**3 + 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 248041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -4639 <= -4639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3021 is divided by 1\/((35\/189)\/5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 12.05562 to 2 dps.\nAnswer: 12.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -221 - 1210211?\nAnswer: -1211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14391668?\nAnswer: 2, 37, 97241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 169*g**2 + 23*g - 113. Let a = 27 - 20. Is j(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2*(6 + 30\/(-6)). Determine u, given that -b*u**5 - 4*u**4 + u**5 + 4*u**3 - u**5 + 2*u**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -476 - -1552. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 482.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9 - 7. What is the second derivative of -n*b - 3*b - 1 + 4*b**2 + 1 wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 2*m**3 + 0*m + m + 3*m**2 - 1 - m**3. Let z be w(-2). Is -1\/4 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -2*h**2 - 103*h + 9142. Calculate k(-98).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2*y + 3)*(-3 - 1 - 4) + 3*y + 8 - 8.\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.030272391 to three decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 10*v + 1. Let x be d(4). Suppose 0 = -3*b + h + x, h + 0*h = 1. Suppose b*u - 129 = 11*u. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1872) + 3)*2 + 3*(sqrt(1872) + 1))**2.\nAnswer: 1080*sqrt(13) + 46881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*m**4 + 10091*m**3 - 21*m**2 - 150517*m wrt m.\nAnswer: -48*m + 60546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20 and 2606?\nAnswer: 26060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 9*v**5\/7 + 9965*v**4\/7 - 67896*v**3\/7 + 64772*v**2\/7 + 178272*v\/7 + 35648\/7 = 0.\nAnswer: -1114, -1, -2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/142 and 13\/18573.\nAnswer: 2637366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 214\/(-107)*(-1)\/(-12)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1933 or 125732\/65?\nAnswer: 125732\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/(-10))\/((-14)\/10). What is the second smallest value in 1\/6, -0.3, q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56188973.1 rounded to the nearest one thousand?\nAnswer: 56189000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 593\/1186*2\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 15\/62053 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 7, i: 3}. What is prob of picking 4 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -6*z - 2. What is the remainder when w(-4) is divided by -5 + 1 + (-297)\/(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (10 - (-33946)\/(-1617)) + 11. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 - x + 4)*(426*x - 1016*x + 391*x) - x + x + x**2 as r*x**2 + z + w*x and give r.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((16\/12)\/2)\/(1\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -245*c**2 - 5*c + 8806?\nAnswer: -490*c - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 846846697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g\/((g**(2\/3)*g)\/g*g)))**36*g**(-1)\/((g*g**(-1)\/g)\/g) assuming g is positive.\nAnswer: g**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 51\/4 of a millisecond?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 96 - 87. Suppose -27 = -2*o - l. Calculate the highest common factor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11\/37 - -395\/333. What is the biggest value in l, 0.2, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 250\/17133  (b) -0.1  (c) 0.3  (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(3300)*-5)\/(sqrt(88)\/(-5*sqrt(24)\/sqrt(3))))**2.\nAnswer: 187500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2)*(j**5 + 4*j**5 - 4*j**5) + j**5 + 4*j**5 - j**5 + 3*j**5 - 3*j**5 - 3*j**5 - 3*j**5 + j**5 + 4*j**5.\nAnswer: 5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-2)\/(-1))\/(-4))\/((-1)\/(-18))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -193*r**2 + 4*r + 8. Let b(c) = -c - 2. Calculate -4*b(u) - h(u).\nAnswer: 193*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 3\/5 of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5075277128 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 39.2 times -1563?\nAnswer: -61269.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 423 and 12878.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 198*c - 506*c - 55*c = 885*c + 41184 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(2057) + -2.\nAnswer: -4 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -8c + 49?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 131 + -144 + (45 + -1 - (19 + -25))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h*(h*h**3*h)\/h*h\/h**(-11)*(h*h**(-4))**(-4\/21) assuming h is positive.\nAnswer: h**(123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1455434 - 13?\nAnswer: -1455451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 127*c + 2*x = 129*c - 46, -2*x + 86 = 4*c. Solve c*w = 52*w + 60 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + 0. Let z(k) be the first derivative of -3\/5*k**5 + 0*k**3 + x*k - 3\/2*k**2 + 0*k**4 - 4. Find the second derivative of z(o) wrt o.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 + 10. Suppose z = i*z, 4*z = -2*j + 32. Calculate the remainder when j is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2086.4 - -2077.4. Let w = 3 - 7. What is the closest to 0.2 in w, c, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99*x + 25 = 94*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a - 2*a + a)*((1 - 5 + 1)*(-3 + 4 + 1) - 1 - 4 + 4 + 4 - 3 + 1)*(2*a**2 - 6*a**2 + 3*a**2).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -760971 - 1?\nAnswer: -760972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 11*j + 15*j = 18015, 18045 = 5*f - 2*j. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -758, -752, -636, -410, -74, 372?\n\"Answer: 55*v**2 - 159*v - 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -285 - 58. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -108*i**4 + 152*i**2 - 6008*i + 2044*i**3 + 6008*i = 0.\nAnswer: -2\/27, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.2 + 1.8. Let u = -11 + 8. Let f = 4.8 + -3.8. What is the nearest to f in c, u, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -279550, -279356, -279162?\n\"Answer: 194*m - 279744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 34844881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s**4 - 32*s + 32*s)*(-31*s + 161*s - 9820 + 9819).\nAnswer: 130*s**5 - s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*u**2 + 2*u**2 - 4*u**2 - 3*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**(1\/8)*j)\/j)\/j**(-3))\/((j\/j**(-7))\/(j\/j**(-4\/3))) assuming j is positive.\nAnswer: j**(-61\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 842  (b) 2.92  (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9125 is divided by 326.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -4*b + 98, -5*b - 5*r = -10*r - 135. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(2\/11)\/u**7 assuming u is positive.\nAnswer: u**(-75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124*b + 424 - 52 = 0. Let p(r) be the third derivative of 0 + 0*r**4 + 0*r**b - 9*r**2 - 1\/30*r**5 + 0*r. What is p(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**4 + 3*z**3 - 7*z**2 - 11*z + 11. Let l(k) = -k**4 + k**3 - 3*k**2 - 5*k + 5. Let s = 4 + -7. Let u(n) = s*o(n) + 5*l(n). Factor u(m).\nAnswer: -2*(m - 1)**2*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -20*p**3 - p**2. Suppose 12*i - 41 - 355 = 0. Suppose 3*a = i - 36. What is l(a)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of r**4\/2 + 43*r**3\/6 + 92*r**2 + 17*r + 6. Calculate the remainder when 1070 is divided by c(-5).\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10 - (-6 - -16) - 7) + 19\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the third derivative of 0*b + 0 - 7\/24*b**4 - 36*b**2 - 4\/3*b**3 - 1\/60*b**5. Let u be 66\/(-12) + (-2)\/4. Calculate h(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**2 + y + 5. Let c be n(0). Suppose -2 = 2*f, -3 = -c*p + 2*f + 9. Solve p*m = 14 - 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from vftffvvvvvvffvvvftv.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -32 + 9*b - 22*b + 11 - 5*b with respect to b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wgg when three letters picked without replacement from vvvvwgvggvvgv?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 679104?\nAnswer: 679104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20, -33, -46, -53, -48, -25?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -9  (b) 3  (c) 56  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1532531 (base 6) to base 3\nAnswer: 11120112101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -305*g + 148*g + 152*g - 20 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*b - 4*p - 101, 0 = -8*b + 633*p - 635*p + 170 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -733*b**4 - 6*b**3 + 6*b + 185. Let s(d) = -1466*d**4 - 11*d**3 + 11*d + 370. Let u(t) = 11*f(t) - 6*s(t). Differentiate u(c) with respect to c.\nAnswer: 2932*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*s - 16*s + 8537 = 6925 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the third derivative of -i**6\/120 + i**5\/10 + 29*i**4\/24 - 3*i**3\/2 + 77*i**2 - 2. Let q be o(8). Calculate the highest common divisor of q and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 492 and 615?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that 2*u**3\/5 + 162*u**2\/5 = 0.\nAnswer: -81, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4163)\/2415*7 - -12) + (-1)\/(-5)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 1450*d. Let x(b) = -b**2. Calculate q(x(k)).\nAnswer: -1450*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -3 + ((0 + (-2 + sqrt(208))*-2 + sqrt(208) + 3)*-1)**2.\nAnswer: -56*sqrt(13) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h = 4*k - 3, 4*k - 6 = 6*k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or -676?\nAnswer: -676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2878*(4\/20)\/(2\/(-5)). Let w(f) = -7 - 16 - x*f + 1572*f. Let u be w(3). Calculate the greatest common divisor of 47 and u.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1002 + 3977?\nAnswer: 2975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ana when three letters picked without replacement from nannnnnnnnna.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 9) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -9349, -18704, -28093, -37534, -47045, -56644, -66349, -76178?\n\"Answer: -3*j**3 + j**2 - 9337*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -5*k + 5*k**2 + 7 + 4*k**2 - k**2 + 6*k**3 - k**2. Let u(b) = 5*b**3 + 6*b**2 - 4*b + 6. What is 6*l(g) - 7*u(g)?\nAnswer: g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**3 + 5*l**2 - 6*l + 6. Suppose 0 = -5*n + 10, -3*p + 1 = -5*n + 11. Suppose p = -3*j + 9, -4*k - j = -2*k + 9. What is h(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000764 to 5 dps.\nAnswer: 0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -69360, -69699, -70258, -71031, -72012?\nAnswer: -73195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**2 - 11*f + 4. Let i be w(7). Let k(q) = -6*q + 12. Let d be k(8). Let j = i - d. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g + 2*g - 3*g)*(-72*g**2 + 415*g**2 + 0*g + 0*g).\nAnswer: -686*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - -6071?\nAnswer: 6076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 90, -117, 0.6, 4, -0.2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3*r**2 + 1 + 5*r**2 - r**3)*(6*r**2 + 4*r**2 - 2*r**2).\nAnswer: -8*r**5 + 16*r**4 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.06406 from -5.\nAnswer: -4.93594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 + 5*v**2 - v + 6. Let g be n(5). Let i = -8 + 8. Which is greater: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 40*n - 31*n**2 - 6*n**4 + 9*n**2 - 14 - 40*n**3 + 42*n**2 = 0?\nAnswer: -7, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + c = -9 + 29, c = -3*j - 35 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4359*q**2 - 4*q + 2057*q**2 + 3*q + q.\nAnswer: -2302*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1443 divided by 31.\nAnswer: 1443\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 633 - 4?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -138 + 8 = -26*o. What is the second derivative of -19*w + 5*w**5 - 2*w**o + 6*w + 5*w**5 wrt w?\nAnswer: 160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the third derivative of -u**4\/24 - 5*u**3\/3 + 37*u**2. Let v(i) = -i**2. Determine p(v(q)).\nAnswer: q**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*x**4\/5 - 12132*x**3\/5 - 219348*x**2\/5 - 988524*x\/5 = 0. What is x?\nAnswer: -9, 0, 3051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 - -1)\/(45\/(-25) - -2). Let c(l) = -11*l**2. Let v(i) = 5*i**2. Give y*c(t) - 10*v(t).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 1\/3, 5, 0, -38, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 + 3 = 34*p + 7 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:59 AM and 8:06 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 4*v = -25. Suppose 10 - 40 = -v*n. Let i = 8 - n. Solve -10 = -0*m - i*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17468 is divided by 91.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 514045 - 4?\nAnswer: 514041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 65683 is divided by 89.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(1 + (3*(sqrt(1584) + 3) - (-1 + sqrt(1584) + -1)))*-6*4)**2.\nAnswer: 8294400*sqrt(11) + 93312000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -145.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -737.133*52\nAnswer: -38330.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 17 = 4. Let p = 18 - v. Let k(f) = 3*f - 1. Let c(w) be the second derivative of -w**3\/6 - 2*w. Determine p*c(h) + 2*k(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 >= 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1079 - 1054. Calculate the lowest common multiple of b and 6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3541669 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7.3 + -7.6. Which is the closest to 2\/7?  (a) -2\/15  (b) 1\/2  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppmmmmmmmmmmmmmmpm. Give prob of sequence pmm.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lt when two letters picked without replacement from {f: 3, t: 1, w: 1, l: 4, o: 4, x: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a + 7*a + 2*m + 216 = 0, -5*m - 644 = -3*a. Let v = 362 - a. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 31775 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/3 in 0.59, 4, 3?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*d - t = 12*d + 225, 2*t - 924 = -4*d. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 2*x**2 - 16*x - 12. Let r be h(-7). Suppose 4*u - r = 114. Differentiate 5*v**2 - 4 + u*v - 35*v - 43*v wrt v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -160*w - 93. Let g(j) = 159*j + 64. Give 3*g(v) + 2*t(v).\nAnswer: 157*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.4, 120776, -0.1, 243?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the first derivative of 4 - 2 - 2 - m**2 + 1. Let w(s) = -s. Determine w(r(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 6*d. Let s(c) = -45668*c - 6. Calculate j(s(b)).\nAnswer: -274008*b - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 627039139?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -100*m + 235*m + 7*m**2 - 111*m + 21*m**2 - 64 + m**3. What is the remainder when 30 is divided by y(-27)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 2, 4660\/3, -3.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 1*(3*sqrt(25)\/sqrt(5) - sqrt(5))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -5*h - 331445540 + 331445540. Calculate l(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.774 - -0.76. Let y = p - -2.014. Which is the closest to 2?  (a) y  (b) 4\/7  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - 2. Let b = 9.5 + -3.6. Let v = b - 0.9. What is the second smallest value in 3, w, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 + 6*x - 4. Suppose -2*h + 111 = h. Let j = h + -22. Suppose 3*r - j = -0. Let l(a) = -a**2 - 5*a + 3. Determine r*l(o) + 4*d(o).\nAnswer: -o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20432, 20429, 20426, 20423, 20420?\nAnswer: 20417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the first derivative of -12*f + 3\/2*f**2 - 11. Let r be a(12). What is the highest common factor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 90942 and 227355.\nAnswer: 454710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 - 12*a**2 - 1452*a - 20691. Give b(-14).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 21*j**2 + 87*j - 26. Let h(d) = 5*d**2 + 21*d - 6. Let u(k) = 25*h(k) - 6*n(k). Let s = 17 - 12. Calculate u(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4939\/68 + -291\/4. Let l = 0.84 + -1.31. Let v = l + 0.27. Which is the second biggest value?  (a) j  (b) v  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2573, -11253, -26039, -46925, -73905, -106973, -146123, -191349?\n\"Answer: m**3 - 3059*m**2 + 490*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6155?\nAnswer: 5, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**3 - 43370*w**2 - 94134525*w - 375844500.\nAnswer: -5*(w + 4)*(w + 4335)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6153\/4 or -1537?\nAnswer: -1537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.0337 + -0.0663. Is w less than -0.15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45463 is divided by 464?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**3 + 7*a**2 + 9*a + 3. Let k(d) = -d**2 - 8*d + 5. Let j be k(-9). Let h = j + -2. Give n(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4551005 - -2?\nAnswer: -4551003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 731972332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 57, -5, 1, 5 in decreasing order.\nAnswer: 57, 5, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5000769 and 603081.\nAnswer: 5337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 193.5569 to 0 dps.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1*((-1 + 2)\/(-1) - -3). Suppose s*n = -y + 2 + 100, 0 = 5*n + 2*y - 257. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -49 - -72. Suppose -4*c - w = -13 - 136, -c - 5*w = -p. Suppose -3*o + 13 = -c. Calculate the greatest common factor of o and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 6*b - 2*b. Suppose -5*x = -3*x - 36. Suppose -x = m - b*m. What is the remainder when 16 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 357 - 347. Let i = -16 + 31. Let k = 12 + i. What is the remainder when k is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 4\/311871 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -837524, -3349710, -7536694, -13398482, -20935080, -30146494?\n\"Answer: -b**3 - 837393*b**2 - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -261.01 + 261. Which is the closest to 1\/3?  (a) 0.3  (b) p  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 + 10*w**2 - 11. Determine m(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -351 - -842. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35635479 divided by -1199?\nAnswer: 29721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/2899 or -1?\nAnswer: -1\/2899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -1391, -4, 0, -2 in increasing order.\nAnswer: -1391, -4, -2, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95 = -41*j + 1787 - 93. What is the smallest common multiple of (6\/(-5))\/(1\/(-15)) and j?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5517\/11 + -501. What is the second biggest value in f, -2\/7, -4\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (54831\/42)\/(2\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 3 + 3650*x**2 - 3652*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-78)\/28*(-77)\/(-132) and -99\/310.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + 10102123202?\nAnswer: 10102123212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 36 and 711?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 52*b + 16. Let q(a) = 3*a + 1. Let w(j) = 16*q(j) - t(j). Let k(g) = -47*g**2. Determine w(k(l)).\nAnswer: 188*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 88\/65 - -3\/65. Which is the third smallest value?  (a) 1  (b) m  (c) 0.5  (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5 + 46471.\nAnswer: 46471.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**1)**(-45)*h**(1\/9)*h**(-1\/8))\/(h**6\/h**10)**(-6\/35) assuming h is positive.\nAnswer: h**(-1763\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the second derivative of 21*u**4\/2 + 11*u**3\/6 + 7*u**2\/2 - 16*u. What is the units digit of d(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*s - 297*s - 321*s.\nAnswer: -576*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 754993 by -4.\nAnswer: -754993\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1290 (base 11) to base 8\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3025, 6181, 9283, 12325, 15301, 18205?\nAnswer: 21031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 7*v**2 + v + 4 - 3*v**3 - 8*v**2 + 2*v**3 + 0*v. Give g(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26694 take away 4?\nAnswer: 26690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 33144352 to the power of 1\/2, to the nearest integer?\nAnswer: 5757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + k + 918, -k - 306 = -3*z + 2*z. Suppose -z = -i - 53. What are the prime factors of i?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 PM and 9:02 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-96))\/((-2)\/4*((-3654)\/168)\/(-3))?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 - -3.05. Let g be ((-22)\/4554*23)\/(44\/(-72)). Sort 28, b, g, -0.4 in ascending order.\nAnswer: -0.4, b, g, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -70800.04 to the nearest 100.\nAnswer: -70800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 4, -5\/4, -0.03, -2\/21, -37\/187, -2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -18617.4 times -625?\nAnswer: 11635875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 51 - 46. Suppose -v = -y*f + 24, 4*v = -5*f + 4 - 0. Let q(a) = -a**3 - 4*a**2 + 2*a + 2. Determine q(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -0.1. Let q = 0.48 - -0.02. Which is the smallest value?  (a) 1  (b) m  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*4\/(-1)*1. Let f = x + 12. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/(-2) - 1*57\/33. Which is the second smallest value?  (a) 2  (b) 0.3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.07, 3, -116.63, 0.2, -1?\nAnswer: -116.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -515 not equal to -1.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3952*d**3 - 3*d + 2 - 3961*d**3 - d**4 + d to the form x*d + i + w*d**3 + z*d**2 + y*d**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 11*y + 14*y, -16 = -4*n + 4*y. Solve -n*g + 4 + 3 = -2*t, 2*t - 8 = -2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53.7 times -0.4?\nAnswer: -21.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 237568561?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2575 is divided by 171?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58368*v - 116736*v + 58372*v + 290 = 74 for v.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1573801?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/15 + -4 + 28\/6\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72) + 1)*4.\nAnswer: 4 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/3*126\/2*1410\/(-4935)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -15*k - 2*k**2 + 16*k - 2*k**3 + 10*k**2 + 0 + 0 - k**3 + (5 - 2 - 1)*(0*k**3 - k**3 - k**3).\nAnswer: -7*k**3 + 8*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r**5 + 47*r**4 + 574*r**3 + 482*r**2 - 575*r - 529 = 0. Calculate r.\nAnswer: -23, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 418080 a multiple of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/33)\/((-47)\/1034)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 600.38 + 66.42. Let c = -880 + i. Round c to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10*(-10)\/(-10700))\/((-10)\/60*3)?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -16280350 rounded to the nearest 10000?\nAnswer: -16280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 + 24. Let u be 96\/(-44) + 2\/f. Let r = 9 - u. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 5*p = -o + 76, 3*o + 2*p + 95 = 0. Let w = -31 - o. Solve -3*n + w = 2*n + 4*u, 4*n - 6 = -u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-17)\/(-1309)*22)\/(((-10)\/(-28))\/1).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 + 4819?\nAnswer: 4822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 - 3*d**2 - 3*d - 2. Let a be z(4). Suppose -3*v + 2 = -4. Do a and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 1:52 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 2, 11, 55890, 5 in ascending order.\nAnswer: -6, 2, 5, 11, 55890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 5*o + 260 - 291 = 0, o = -3 - 1 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/(-5))\/((-3919)\/137165)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*c = 17*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 68982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 4:21 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, v: 3}. Give prob of picking 2 v.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 3 = -5*c + 6*w, 2*c - 2*w = 2. Put 4\/23, -0.06, c, 0.1 in increasing order.\nAnswer: -0.06, c, 0.1, 4\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-5\/2))**45 assuming f is positive.\nAnswer: f**(-225\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 4, f: 1, n: 1, h: 4, z: 1, w: 3}. What is prob of sequence wf?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:43 PM and 9:31 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 506149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30774716 (base 8) to base 6.\nAnswer: 352233222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -4*t**3\/9 - 640*t**2\/9 - 22100*t\/9 + 289000\/9 = 0?\nAnswer: -85, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11\/(-330)*2*30\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70*f - 45*f - 22*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the second derivative of -7*s**5\/2 - s**3\/3 - s**2\/2 + s. Suppose 17*f = 10*f - 7. Is d(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 336 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 388?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*a*d**4 - 2*a*d**2*w - 352*a*d - 2*d**4*w + 6*d**3 - d**2 wrt d?\nAnswer: -120*a*d - 48*d*w + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7*-3*(-8)\/588.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10.6362 - -0.6362. Which is smaller: -0.62 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -130*g + 10*g + 1540 = 100*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -2*v. Let j(q) = 2*q**2 - q**2 - 6*q**2. Determine j(s(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 - 3)*(-3)\/2. Suppose 3*z + 3 = -a*b - 0, 4*b + 18 = 3*z. Do z and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.4924 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, z: 3}. Give prob of picking 1 i and 1 z.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**0*z\/(z*z*z\/z**1*z))\/(z\/z**(1\/3))**(-6\/5) assuming z is positive.\nAnswer: z**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 43 = 22. Suppose -w*p = -2*p - 3*j - 145, 84 = 2*p + 4*j. Calculate the greatest common factor of p and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -43, -3, 5.\nAnswer: -43, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (7932\/8 - 0)*(-42)\/(-36). Let q = h + -1115123\/964. Which is greater: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 3*p = -32, 4*p + 55 = 2*l - 19. Let n = l - 25. What is the remainder when n is divided by 5*-12*(-4)\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 21 + (2\/(-3))\/(2\/6). Find the third derivative of -y**2 - 3*y**5 - 16 + 5*y**5 - 7 + 14 + d*y**4 wrt y.\nAnswer: 120*y**2 + 456*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2168219*x + 23 + 1084108*x + 1084112*x.\nAnswer: x + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(6\/5)*v*v**6)\/(v**(-2\/11)\/((v\/(v**(-4)*v))\/v))*v\/v**(1\/2)*v**5*v**(-5\/3)*v\/v**5 assuming v is positive.\nAnswer: v**(4031\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-78)\/(-13)*(-4)\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/(-2)*236\/2. Let n be 4\/14 + h\/7. Let i = -74996 + 75001. Sort i, 1, n.\nAnswer: n, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 6, k: 7, e: 1, m: 4}. What is prob of sequence vmmv?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 805458?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (-2 - -1 - (-10 + 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 46296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, l: 11}. Give prob of picking 1 d and 1 l.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the third derivative of 7\/3*c**3 + 0*c**5 + 0*c**4 + 0 + 1\/60*c**6 + 2*c**2 + 0*c. Differentiate n(b) with respect to b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27\/21*(-6909)\/423.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 287 in 2415, 22, 0.3?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 81.62 and 125.51.\nAnswer: 10244.1262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 36*u - 43. Determine y(5).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10247 + 26527. List the prime factors of w.\nAnswer: 2, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81412803?\nAnswer: 3, 43, 70123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 20\/3*(-6)\/(-4). Let n = b - 4. Let m(v) = -v**3 + 7*v**2 - 5*v + 6. Let r be m(n). What is the greatest common factor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4898623 is divided by 699802?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(270)*3 + sqrt(270) + sqrt(270))\/(sqrt(294) - (sqrt(294)*-3 - sqrt(294))).\nAnswer: 3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 - 2440. Let c be 3 - (-2)\/(4\/(-6)). Let w be z(c). Let i = 3417 + w. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -81*a**5 - 10*a**4 - 6*a + 1833.\nAnswer: -1620*a**3 - 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1037\/2 - -2171\/4. Find the common denominator of 29\/7 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -1. Let o(s) = s + 5. Let k(u) = -10*m(u) - 2*o(u). Let a(x) = x - 1. Let h(n) = 9*n - 8 + 2 + n. Let d(t) = -6*a(t) + h(t). Calculate d(k(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 - 5*w**2 - 6*w - 4. Let k be h(-4). Solve 2*v = 6*v + k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 474 - 1418\/3. Let r = 16.3 + -16.2. Suppose -3*q - 4*k - 22 = 0, 3*q - 2*k - 1 - 1 = 0. What is the closest to q in -4, d, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1512 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17 + -39. Let z = 241 + -260. Let p = z - y. Solve -p*x + 4*i = 10, -5 = 4*x + i + 2*i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s + 6. Let q(x) = -2*x + 9. Let v(g) = -7*p(g) + 5*q(g). Let w = -4 - -6. Determine v(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:34 AM and 6:33 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10751 - 10750.987. What is the biggest value in 0.5, -3, -2\/7, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -316*q**4 - 3*q**2 + 1587*q - 2. Let o(f) = -630*f**4 - 8*f**2 + 3174*f - 5. Let v(a) = -5*n(a) + 2*o(a). Find the second derivative of v(g) wrt g.\nAnswer: 3840*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vl when two letters picked without replacement from xjblv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - u + 120 = 5*p, 5*p - 5*u = 110. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -154, -306, -458?\n\"Answer: -152*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 236179663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.181282ml in litres?\nAnswer: 0.008181282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11311531 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the first derivative of -p**4\/4 + 5*p**3\/3 + 3*p**2 + 2*p - 625. Let l(z) = z**2 + 10*z + 6. Let s be l(-9). Let b be (-45)\/s*2\/5. What is n(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6120217*g**3 + g**2 - 4128271?\nAnswer: 36721302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 14) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 173\/150276 and 58\/9.\nAnswer: 450828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/20 of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5.487816 decades?\nAnswer: 658.53792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 28 = -2*f. Let k be (-7)\/f + (-115)\/4. Let q = k + 47. Calculate the greatest common factor of 72 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.05 - 0.07. Let p = n - 0.08. Which is the nearest to -2\/3?  (a) 3\/2  (b) p  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 35549805?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 750097184?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -50 - -46. Let f be a\/(-1 - (0 - -1)). What is the second derivative of -292*o**f + 2*o + 292*o**2 - 13*o**5 wrt o?\nAnswer: -260*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 + 9*u**2 + 17*u + 1. Let m be c(-6). Solve -3*v - 2*g - m = -4*g, 3*g + 6 = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(567) + (sqrt(567)*2 + sqrt(567))*-4 + sqrt(567))\/(sqrt(324) + sqrt(324) + (sqrt(324) - 2*sqrt(324))))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 + 9*j + 20. Let g be z(-7). Let h be -11 + g + 159505 + 0. Round h to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -583937*p**2 - 608336*p**2 - 737786*p**2.\nAnswer: -1930059*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -678*r + 3469. Is d(-45) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3351 - 1?\nAnswer: 3350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2712, -6275, -2\/13 in decreasing order.\nAnswer: 1, -2\/13, -2712, -6275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -406 divided by 58?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -6*f**2 - 9*f - 5. Let c(t) = -t + 1. Let r(s) = 6*c(s) - x(s). Let b = 87 + -79. Is r(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 46188 and 525756?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least -96\/347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -62265 + -0.008\nAnswer: -62265.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.72 + -4.25. Let y = -5202837 - -5202835.4699911. Let u = t - y. What is u rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -554, -1894, -4132, -7274, -11326, -16294?\n\"Answer: -f**3 - 443*f**2 - 4*f - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 13428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 57, 1\/2, 1?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jeixiiide. What is prob of picking 1 i and 1 d?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 5*s + 19 = 0, 0 = j + 3*s + 1 - 10. Suppose 0 = -j*v + 12, -3*y + v - 2*v = -349. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 5*y = 26, -3*y - 18 + 0 = -3*t. Suppose r + 3*s = 2*s + 2, -t = 2*r - 3*s. What are the prime factors of -10*(-2 + r + 0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*b**2*s**3 - 6565342*b**2 + 9356779*s**2 wrt s.\nAnswer: -6*b**2*s**2 + 18713558*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + -5 + 7 - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 (base 13) in base 4?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes after 4:01 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -461*m = -480*m + 25916. Is 44 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15436 - 7719 - 5120*j + 5118*j - 7717.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 11101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**2 - 5*l + 7. Let s be k(-6). Let b(m) = -49*m + 45. Let f be b(1). Let v = -2\/13 - 7\/39. What is the nearest to s in f, -2\/11, v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (355 - 767 + 162)*(9 - 7 - b - b) in the form m + f*b and give f.\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 2*s**2 + 2*s + 8. Is 8 a factor of y(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in eighty-eight fifths of a centimeter?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000589208 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30 - (-22)\/(-4)*(-828)\/(-1518).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.05 + -3049607\nAnswer: -3049606.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21339 and 1764?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the first derivative of -2*l**3\/3 - 1. Let x(n) = 3*n. Let h(r) = -7*r. Let u = 4 - 2. Let w(f) = u*h(f) + 5*x(f). Calculate c(w(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 200102022022 (base 3) to base 4.\nAnswer: 1120200221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -82 + 572\/7. Which is the nearest to 1?  (a) j  (b) -0.03  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/(-4) + (-3)\/(-12). What is the tens digit of ((-22)\/3)\/(g\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 787675 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2546 = -4*h - 0*g + 5*g, 0 = 2*h + 2*g - 1264. Is 97 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5231235 a multiple of 295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - -12 - (-3 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1700\/150 + 2\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72046 divided by 221?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 367131 and 3?\nAnswer: 367131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {x: 3, a: 7, i: 2, e: 5}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -15294.588 to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11528 divided by 2882.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 18707 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 49365 and 21015?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*t + b = 18*t, 0 = -b + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7592581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2\/3199 + -233521\/9597. Calculate the common denominator of 14\/2455 and q.\nAnswer: 7365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = 339105 - 339120, -4*g + 13*m = -183 for g.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7538*x**2 + 3988*x**2 + x - x + 2726*x**2 + 3180*x**2.\nAnswer: 2356*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1331838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 31 - 26. Suppose v*x = -2*x + 581. Calculate the remainder when x is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 266*u - 2683. Does 48 divide h(86)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -2*g**2\/3 - 376*g\/3 + 126 = 0.\nAnswer: -189, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/58340 and -109\/58340?\nAnswer: 58340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1669 is divided by 109.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 31 + -22. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -7*i - 849. Let z be g(0). Let o = z - -1484. What are the prime factors of o?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 299 is divided by 135.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 129 is divided by 0 + 2 - 24\/10 - (-30012)\/305.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 450 = 5*k. Suppose x + 4*x = k. Solve -4*o - 2 + x = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4191)\/39 - 344\/(-860)*(630\/(-78))\/(-7)\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 154022535 + -105?\nAnswer: 154022430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 y, and 2 g when four letters picked without replacement from {b: 1, y: 4, k: 8, g: 3, r: 3}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1100110011110100110 (base 2) in base 14?\nAnswer: acd82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -91, -852, -2923, -6958, -13611, -23536?\n\"Answer: -109*p**3 - p**2 + 5*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 77, 68, 61, 56?\n\"Answer: i**2 - 12*i + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2644441 - 0?\nAnswer: 2644441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -o**2 - 18*o - o**2 + 3*o**2 + 69*o to the form b*o**2 + c + f*o and give f.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23633407?\nAnswer: 7, 251, 13451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -27 - -42. Suppose 6*s = q*s + 315. Let h = 14812\/5 - 2953. Find the common denominator of s and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2764 + -13?\nAnswer: -2777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 342935236*t**2 + 343143949*t.\nAnswer: 685870472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*j*k**2*x - 89*j*k**2 - k**2*x - 2*x**2 wrt x?\nAnswer: 3*j*k**2 - k**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2060855?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21.399 - 0.4.\nAnswer: -21.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2 - ((-1)\/5 + (-267)\/30) and -17\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 54 + -53.65. Let d = t + 0.65. What is the biggest value in 0.5, -5\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 64918.41 months?\nAnswer: 5.4098675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*i - 5*n + 28, -4*n = 377815*i - 377816*i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 25118584 to the power of 1\/2, to the nearest integer?\nAnswer: 5012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11213535 (base 6) to base 7.\nAnswer: 2632523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -100 (base 2) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 + 10*m**2 - 16*m + 8. What is the tens digit of z(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, 5, -6875, 3 in descending order.\nAnswer: 5, 3, 0, -4, -6875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 - 17. Is g at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -11169, -12123, -13713, -15939, -18801?\n\"Answer: -318*y**2 - 10851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 629095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 3:21 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j + 10 = 0, 4*m + j - 9 = 2*j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**5*(f*f**(1\/7))\/f)**(11\/7)*(f**0)**26\/((f*f\/(f\/((f**(-1\/6)\/f*f)\/f)))\/(f*f**(-4))) assuming f is positive.\nAnswer: f**(-2615\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 + 137*h**2 + 4621*h - 197. Determine n(165).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 3)*(0 + 2 + 0)*(-61 - 65 + 125)*(14*q - 7*q - 22*q).\nAnswer: 60*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (32\/10)\/((-2156)\/(-770))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 648*l - 2326*l + 1570*l + 991*l.\nAnswer: 883*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**3 + 10*u**2 - 3765*u + 3858. Calculate n(56).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 28*k**3 - 8. Let p(u) = 4 + 22*u - 22*u - u**3 - 13*u**3. Let c(r) = -2*i(r) - 5*p(r). Differentiate c(o) with respect to o.\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -9*v + 47. Let j(l) = -1. Let d(x) = a(x) + j(x). Let k be d(5). What is the remainder when 38 is divided by (4 - 3\/k) + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1412534 take away 32231.2?\nAnswer: 1380302.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*j + 5*j = 0. Suppose j = -4*x - 162 - 10. Is (-3 - -3) + 0 - x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 72131, 72126, 72123, 72122?\n\"Answer: f**2 - 8*f + 72138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 68391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 11566462 (base 8) to base 11\nAnswer: 1492743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108)\/(sqrt(3) + sqrt(3) + sqrt(9)\/sqrt(3)))\/(sqrt(24)\/(sqrt(8)\/sqrt(4))).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes before 4:46 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 55876892 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 4 - 2)*(-47*u**2 - 18*u**3 + 21*u**3 + 521 - 522 + 4*u).\nAnswer: -24*u**3 + 376*u**2 - 32*u + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 37 + -17. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 701414, 701305, 701130, 700895, 700606?\n\"Answer: d**3 - 39*d**2 + d + 701451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-2\/3)*y)**39*y*y\/(y\/(y\/y**(-5)))*y**4\/y assuming y is positive.\nAnswer: y**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 + (6\/12)\/((-1)\/(-2)). Which is smaller: 2\/301 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -77067 minus 0.4?\nAnswer: -77067.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -10*y - 45. Let r be c(-5). Suppose 0 = 6*o - r*o - 37. Let b = o + -27. What is the highest common divisor of b and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**2 + 5*c**4 - 4*c**4 + 0*c**2)*(7 - 1 + 10).\nAnswer: 16*c**4 - 32*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**2 + 108550*i + 651120.\nAnswer: 5*(i + 6)*(i + 21704)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -0 - 4. Suppose -152*t + 283*t = 0. Solve 2*d = -2*z + 8, 5*d + t*z + m*z = 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -875325 smaller than -875322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (27 - -21)\/12*(8148\/(-816) - -10)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 4 = 0, 30 = 5*m - 5*o - 15. Calculate the remainder when 168 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*-1*(-2 + -2*sqrt(171)*6 + sqrt(171) + (-3*sqrt(171)*2)**2)*2 + 3.\nAnswer: -330*sqrt(19) + 61543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes before 2:06 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 13332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 + -9 + 0 + -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f - 2*f = 16. Find the first derivative of -f + u + u + u**2 - 2*u wrt u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, o: 5, l: 9}. What is prob of sequence fl?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 19\/6  (b) -1  (c) -4657.6  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6993 + 7182. What is the greatest common divisor of 243 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -5*l**3 - 2*l**2 - 4*l - 6. Let r(t) = -t**3 - t - 1. Let p(j) = j**3 + 9*j**2 - 11*j - 11. Let c be p(-10). Let z = -2 + 6. Give c*g(u) + z*r(u).\nAnswer: u**3 + 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**3 - 20*g**2 - 37*g - 21. Give k(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -2*o**2. Let k(p) be the third derivative of 0 + 0*p**3 + p**2 + 0*p + 0*p**4 - 1\/30*p**5. What is a(k(f))?\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a**2\/5 + 1579*a\/5 = 0. What is a?\nAnswer: 0, 1579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*c - 2 + 2 = -4*c. Solve c = -31*t + 28 + 34 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -10*u. Let b(c) = -21*c**2 + 9181*c. Give w(b(y)).\nAnswer: 210*y**2 - 91810*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4343*d = r + 4344*d - 5, 28*r - 4*d - 55 = 7*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 30?  (a) 153  (b) -4  (c) -2\/5  (d) -10.7  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7686 - 3066. What is k in -c - 6*k**2 + 2*k**2 + 1256 + 232*k = 0?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 22*t**5\/13 - 18*t**4\/13 - 70*t**3\/13 + 98*t**2\/13 - 24*t\/13 - 8\/13 = 0.\nAnswer: -2, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252)\/(sqrt(12)*1) - 2*sqrt(525))\/((sqrt(63) - 1*sqrt(3087))\/(sqrt(441)*1)).\nAnswer: 21*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -2\/7, 45, -0.3, 4, -432, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -694 + 821. What is the greatest common divisor of q and 2921?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mymm when four letters picked without replacement from {y: 1, s: 1, j: 1, g: 8, m: 8}.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1125909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((9 - 0) + -3)*-9. Let f be ((-12)\/(-18))\/((-3)\/k). Is 12 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 457, 436, 393, 316, 193, 12, -239, -572?\n\"Answer: -2*b**3 + b**2 - 10*b + 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 333 and 74?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -4*b - 16. Let l be v(-5). Suppose l*w = 2*z + 7*w - 15, 3*w = 5*z - 48. Let q be 12\/27*z\/2. Solve -6*k = 3*p - 4*k + q, k = 3*p - 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2256800 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07198289 rounded to three decimal places?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1408*a - 2954*a - 1823*a + 127*a + 0*a + a + 0*a + (-2*a + 0 + 0)*(-2 - 2 + 2) + 2*a + a - 5*a to c*a + t and give c.\nAnswer: -6055","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -60063, -60064, -60065, -60066?\n\"Answer: -b - 60062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/3303 and -87\/55784.\nAnswer: 502056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(847) + 0 - sqrt(56)\/(sqrt(8) + sqrt(48)\/sqrt(6)))**2.\nAnswer: 3087\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -3*h**2 + 6. Let j be k(-2). Let q(b) = -b - 1. Let s(v) = -6*v**2 - 26*v - 12. Let d(x) = j*q(x) + s(x). Determine c so that d(c) = 0.\nAnswer: -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 23*w. Is b(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6343.793 litres to millilitres.\nAnswer: 6343793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -288 + 309. Which is greater: h or 20?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1164.6, -2\/7, -0.2, -1\/648 in descending order.\nAnswer: 1164.6, -1\/648, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1008 and 441?\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*q**3 + 25*q**3 - 21*q**3.\nAnswer: 39*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11113454 (base 6) to base 3.\nAnswer: -122002120121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 807893439 to the power of 1\/2, to the nearest integer?\nAnswer: 28423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -3*sqrt(22)\/sqrt(2)*-3*-2)**2*2*-4 + -4.\nAnswer: -28588 - 864*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -11\/6, 37, -3\/2, -6, -2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -20717.806412 minus -5?\nAnswer: -20712.806412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -431 - -248. Which is smaller: x or 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6168)\/(-7) - (1584\/168)\/(-11). Is 878 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 2184, 2886, 3586, 4284, 4980, 5674, 6366?\n\"Answer: -p**2 + 705*p + 1480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 3:57 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3 + (-2 - (-1 + 0)). Let s be ((d\/(-5))\/1)\/(8\/(-20)). Are 4 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -182*j + 1200 = -52*j - 80*j for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(3\/11)\/d**(-17)*((d**1*d)\/d)**(-2\/5) assuming d is positive.\nAnswer: d**(928\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w = 98*p - 95*p - 2, p + 6 = -6*w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3158 + 3174. Solve -3*o = -3*p - 21, -o + b = 14 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 117823*s**4 - 252*s**3 + 25930*s**2 - 701*s wrt s.\nAnswer: 2827752*s - 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.5 and 38546.116.\nAnswer: 38546.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 9, e: 4, u: 6}. Give prob of sequence buu.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.2 and 0.0527123917.\nAnswer: -0.1472876083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -12*c**4 - 362*c**3 + 1516*c**2 - 2034*c + 858. Let m(w) = w**4 + 33*w**3 - 138*w**2 + 185*w - 78. Let y(f) = -68*m(f) - 6*p(f). Factor y(r).\nAnswer: 4*(r - 13)*(r - 3)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 111 - 44. Let o = 69 - x. Solve 0*b - 3 = b - o*t, -2*b - 3*t - 13 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -102590*w - 307770. What is l(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*j - 280 = 38*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -9*q**2 + 30*q - 13. Determine p(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5857574 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -899463 (base 11) to base 10\nAnswer: -1432709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -656*r**3 - 560*r**3 + 1235*r**3.\nAnswer: 19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f + 90. Let m be (-9 - -9)\/(2 - 1). Is b(m) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*f - 2*f**2 + 0*f + 62*f**2 + 6*f**2 in the form i*f**2 + x + o*f and give i.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + 1658 - 1634 = 0. Solve 7*t = 3*t - w*u, t - 10 = 4*u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -25*m**2. Let k(j) be the second derivative of -j**4\/24 - 18*j**2 + 12*j. Let c(d) be the first derivative of k(d). What is c(i(r))?\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n. Let o(i) be the second derivative of -7*i**4\/6 + 139*i**2\/2 + 6*i + 48. Calculate r(o(h)).\nAnswer: 14*h**2 - 139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*c + 33 = -17. Suppose -4*b - c*n + 50 + 62 = 0, -137 = -5*b - n. Calculate the remainder when 214 is divided by b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**3 + 7*d**2 + 5*d - 2. Let m be k(-6). Suppose -y - 23 = m*p - 4, -35 = 5*p + 5*y. Let g(l) = -3*l - 2. What is the units digit of g(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -40990 to the nearest one thousand.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 494.5874 - -0.2998.\nAnswer: 494.8872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1700279949 divided by -1.\nAnswer: 1700279949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-79)\/4)\/((-297)\/(-44)) - (-9 - -6).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-2)\/20)\/(17\/204))\/((-5)\/25).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**2 - 660*c + 7417. Give o(11).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sum -322107.335 and 16504.\nAnswer: -305603.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1844?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 2, 3\/5, -64, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -182546 (base 11) in base 4?\nAnswer: -1010232120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5915*g**3 - 1509*g**3 + 1288*g**3.\nAnswer: -6136*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 477*x + 8583. Calculate u(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 136, 153, 198, 283, 420, 621?\n\"Answer: 2*d**3 + 2*d**2 - 3*d + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -6001  (c) 3  (d) 4  (e) -0.3  (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -2*v + 385, 11*v - 4*i + 979 = 16*v. Let s = 208 - v. What is the least common multiple of s and 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*(25\/135*(-27)\/(-90))\/((-50)\/(-60)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 181077 is divided by 1006?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes after 4:37 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = -z - 6. Let f be (-16)\/z*(-93 - -1). Suppose 4*o = 62 + f. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 403*t**3 - 128*t**3 - 153*t**3 - 147*t**3.\nAnswer: -25*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -23400270 rounded to the nearest 100000?\nAnswer: -23400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 - (-1 + 2)*-5. Suppose v - 2*d + 0 + 1 = 0, -b*v - 2*d = -16. Suppose 0 = p - 11 - v. Calculate the highest common divisor of 42 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + 42 + 12 + -77.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4529095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -162926.85 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2113706 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the second derivative of -17*s**8\/7 + 11*s**4 + 93*s. What is the third derivative of i(t) wrt t?\nAnswer: -16320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -52*b**2 + 5*b + 25*b**2 + 28*b**2 + 6. Let g be f(-5). Suppose -3*w = -2*w - g. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 680563684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 112 and 24?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*q - 5882 - 7093 + 4188 = 105*q for q.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 22\/15 of a hour?\nAnswer: 5280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -565039 and -0.6.\nAnswer: 339023.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -182*n + 182*n + 6*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 99\/1015664 and 53\/1664?\nAnswer: 8125312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*y - 44 - 194 + 234 in the form h*y + g and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w**(-28)\/w)*(w*w\/(w**(-13)*w))\/w)**4 assuming w is positive.\nAnswer: w**172","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f**2\/4 + 17992761*f\/2 + 107913149467707\/4 = 0. What is f?\nAnswer: -5997587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 195448, 195366, 195284?\n\"Answer: -82*o + 195530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the second derivative of c**6\/280 + c**5\/140 + 7*c**2\/2 - 6*c. Let z(l) be the first derivative of r(l). Factor z(q).\nAnswer: 3*q**2*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-45)*-3 - (1106\/30 + -783 + 781).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2 + -2 - 67\/(-22) and (3\/4)\/(-6*(-5)\/(-1660))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -2291162000 to the nearest one million.\nAnswer: -2291000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 30037 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = j - 86, 3 = g + 2*j - 37. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 33972 + -33839. Calculate the highest common divisor of i and 4123.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*v**2 - 5268590*v - 163321485.\nAnswer: -5*(v + 31)*(v + 1053687)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 + 551?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 28\/(-98)*(3 + -5). Which is the second biggest value?  (a) o  (b) 1\/3  (c) 9  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -615*z - 222. What is the hundreds digit of o(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/(9\/9)*1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7*(-13)\/((-182)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 20*f**2. Suppose -x = 5*x + 6. Let i be z(x). Let l = i - 17. Solve 2*c = 4*c + 8, 5*a + l*c = -37 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kfnfnffnfkfnnkknf. Give prob of picking 1 f and 2 n.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j**2 + 6*j - 7*j - 33*j.\nAnswer: j**2 - 34*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3688729.\nAnswer: 11, 41, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 280337801?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -33*m**2 - 184689*m - 6058800.\nAnswer: -3*(m + 33)*(11*m + 61200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 + -195028827?\nAnswer: -195028824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes after 6:18 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3858 is divided by 1288?\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 672 and 23209760.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9184 - -11504. Calculate the lowest common multiple of y and 58.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/(-5)*45\/(-18). Suppose 42 = m*r - 3. Suppose 3*q - h - 30 = 0, -h + 0*h = 2*q - r. What is the second smallest value in q, -2\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2\/4 + 7193*l\/4 - 148297\/2.\nAnswer: (l - 41)*(l + 7234)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10157445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 192 + -141. Which is the closest to 0?  (a) 3  (b) y  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:49 PM and 1:37 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3078*z**2 - 3*z + 17535*z**2 - 734*z**2 + z - 105*z**2.\nAnswer: 19774*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16.1 + 17. Let b = o - -0.1. Let c = b + -0.9. Which is smaller: c or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2938*a**3*o + 2*a**3 + 385*a**2 - 2*a with respect to o.\nAnswer: 2938*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2322, 4902, 7458, 9984, 12474?\nAnswer: 14922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11401744, 22803496, 34205248, 45607000?\nAnswer: 57008752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(14)\/(sqrt(2) + -5*sqrt(2) + sqrt(2)).\nAnswer: -3 - sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 290966066 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-58)\/10*-1)\/((-350)\/(-3500)))\/(-1).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, w: 1, a: 1}. What is prob of sequence rr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*q = 3*q + 2890. Let t = 200 - q. What is the least common multiple of 30 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v**2\/4 + 3*v\/2 - 4 = 0. Calculate v.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = 4*n - 9*n - 10, 0 = 5*y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -17*d*g**2*m*u + d*g**2*m + 2*d*g**2 - 103*g**2 + 5*m*u with respect to u.\nAnswer: -17*d*g**2*m + 5*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*b - 85 = -51 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*k + 15*a - 105, -23*a - 28*a = k - 83*a + 30*a + 14 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 51*h**2 - 27*h + 27. Let x(w) = 4*w**2 - 2*w + 2. Determine -4*b(u) + 54*x(u).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 5 = 0, 13*p - 8*p - 3*r + 13 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 1 - (-1 + -2 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 - -825?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 406159 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 258692437469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (7 - -5 - 8) - (9 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-40)\/116)\/5*(-525)\/(-175).\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 459709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 115717841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/13, -0.0344, -6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*(-4)\/(-16)*(-2)\/(-12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 129 + 2*k - 4*k**4 - 7*k**3 - 396 + 134 + 135 to the form h + s*k + x*k**4 + c*k**2 + n*k**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 11 = -5*t - 1, -2*t - 25 = -5*q. Let c be (21\/35 + 2\/q)*1. Does 18 divide -2*c + -22*16\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34689247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z + 3*c - 24, -c - 2 - 6 = -4*z. Put 0, z, 1 in descending order.\nAnswer: z, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81.1923 weeks in minutes?\nAnswer: 818418.384","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 38*z - 1431. Give x(42).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -851 + 929.808. Let h = -1.73 + 80.73. Let o = h - q. What is o rounded to two dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from {w: 1, o: 2, z: 1, d: 1, q: 1, j: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-11)*f**10)**(-2\/43) assuming f is positive.\nAnswer: f**(2\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 - 3*d**2 + 6*d + 4. Let k(z) = -2*z**2 + 2*z - 1. Let t be k(2). Is 6 a factor of q(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-103 - -110) + 0 + -18 + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 406 and 116.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -36 - -35.5. Let b be 46\/(-14) - 2\/(-7). What is the biggest value in b, 2\/5, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes before 12:52 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12192?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) 0  (c) 2  (d) -0.122  (e) -1\/9  (f) -121  (g) -437\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 95 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -37 - -39. Suppose -5*i - b = -3*d + 14, 0 = -5*d + 4*i + 18. Suppose 5*q + u = 34, 5*u + 0 = -q + d. Let n(o) = -2*o + 9. Give n(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-4)\/(-4) + (-9 - (-1017)\/126) and ((-51)\/(-15))\/(4\/6).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 7, i: 2, o: 8, w: 1}. Give prob of sequence qoq.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**(-1\/7)\/z)\/z)\/z**(11\/5))\/((z**20*z)\/(z\/z**(-12))) assuming z is positive.\nAnswer: z**(-397\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, e: 2, k: 4, l: 12}. What is prob of sequence lgkk?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -76890 by 15.\nAnswer: -5126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:59 AM and 5:26 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -82 in 0.4, 0.5, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1243, 1786.\nAnswer: -1243, -5, 1786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.004037 - 4.\nAnswer: -2.995963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 + 2. Solve -l + 0 = 3, -d*r = 4*l + 37 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9047 + 4333 = 127*u - 4385 - 2996 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 405 - 209. Find n, given that -3*n**2 + 19*n**2 + 2*n**3 - w*n**4 - 2*n**3 = 0.\nAnswer: -2\/7, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/45 and 51\/25910.\nAnswer: 233190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.134429l to millilitres.\nAnswer: 3134.429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -168 + 170. Which is the biggest value?  (a) -11  (b) -3  (c) z  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32.1978 hours to milliseconds.\nAnswer: 115912080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**3\/3 + 842*r**2 + 1685*r + 2528\/3.\nAnswer: -(r - 2528)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(192) + -1 - sqrt(192)) + sqrt(192))**2 + (sqrt(192) + -1 + sqrt(192) + -5)**2 - (-6*(-5 + -3*sqrt(192)))**2.\nAnswer: -62087 - 8912*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.2 and 23.6927?\nAnswer: 23.4927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m**5 - 64160*m**4 + 205825260*m**3 + 256640*m**2 - 823301120*m = 0. What is m?\nAnswer: -2, 0, 2, 6416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -111*a + 81*a + 71*a - 102*a + 78*a.\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the second derivative of 1\/2*b**2 + 0 + 1\/6*b**3 + 5\/3*b**4 - b. Does 5 divide r(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 12*d. Suppose -3 = -2*k + 3. Let y(w) = -k*w**2 + 0*w**2 - w**2 + w**2. Give y(r(a)).\nAnswer: -432*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 457516*n. Let r(v) = v. Calculate s(r(z)).\nAnswer: 457516*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 35 - 34. Let f be (-3 + d - 1)\/(-1). Suppose 16*t - f = 13*t. Calculate the highest common factor of t and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 15, t: 3}. What is prob of picking 1 t and 3 e?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*d**2 - 6*d**2 - 5*d**2)*(-73*d + 340*d - 177*d) + 6*d**3 + 0*d**3 - 4*d**3 + (-3 + 1 + 0)*(-d**3 + 0*d**3 - d**3).\nAnswer: -534*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1123732613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 2*h - 10 = 0, 12*o - 17*o = 5*h - 10. Solve 2*d = -o*d + 2*r + 2, 0 = -2*d - 3*r + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is a0 + 20?\nAnswer: c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*s + s + 7*s + 0*s to the form n + z*s and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 5*p + 23 = 0, -84*l + 96*l - 5*p = -3*p - 82 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -26 - -14. Let f be 4\/p + 22\/57. Do f and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (33\/77)\/(81\/42) - (-1672)\/171\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*c - c + 4 + 5*c**4 - 3*c + c**3 - 2 as y*c + x*c**2 + u + g*c**4 + b*c**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 700973.52.\nAnswer: -140194.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 23*a + 6. Let p(q) = 45*q + 11. Let i(s) = -11*l(s) + 6*p(s). Let c(n) = -2*n. Determine c(i(t)).\nAnswer: -34*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 494*l**2 + 8*l - 8. Let y(o) = 491*o**2 + 7*o - 7. Determine -5*r(u) + 6*y(u).\nAnswer: 476*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**1\/l)\/(l*l*l**5)*(l**(2\/11)*l*l)\/(l*l**(-6)))**(-22) assuming l is positive.\nAnswer: l**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -161 + 158. Let r be 33\/30 + a + (-6)\/(-4). Put 3\/4, r, 1\/4 in decreasing order.\nAnswer: 3\/4, 1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114*x = 130*x + 64 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -29 + 11. Let c = x + 18.1. Let b = -0.3 + c. Round b to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 917105506 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (5\/3)\/((-4)\/(-72)). Suppose 3*r + 2*w - 20 = w, -4*r - 2*w + g = 0. Suppose -r*q + 17 - 91 = -3*z, 0 = z + 4*q - 19. List the prime factors of z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (304\/(-112))\/(8\/(-56)). Solve -8 - v = -9*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -3*x - 17. Suppose -7*b - 275 = -32*b. Let m = 7 - b. Calculate s(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - 3501241?\nAnswer: -3501240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + -6 + 16 + (0 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 40044113 (base 5) to base 8\nAnswer: 1150215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 594 + -403. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18.3 - -16.3. What is the closest to -10 in -4\/11, -0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -77*w - 30. Let v be m(-5). Find the second derivative of -13*l + v*l**5 - l - 520*l**5 wrt l.\nAnswer: -3300*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-39)\/(-585)*(-20)\/(-496))\/((-6)\/(-108))\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 22 + 2 = 0. Solve 30 = 5*m + s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**1)**39\/((m\/m**(2\/3))\/((m**(-1\/2)\/m)\/m))*(m*m*m**(2\/7)*m)\/m**(-2)*(m**(2\/7)*m*m)**49 assuming m is positive.\nAnswer: m**(6445\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1956551911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 420 divided by 4.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 188 (base 10) in base 13?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z\/(z\/z**(-1\/16)))\/(z**(7\/2)*z))\/(z*z**(4\/11)*z)**47 assuming z is positive.\nAnswer: z**(-20179\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -5*c. Let a(i) = 6*i**2 - 22*i. Give v(a(h)).\nAnswer: -30*h**2 + 110*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.088, 12319, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -535364 + 18?\nAnswer: -535346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -790, -4975, -15984, -37231, -72130, -124095, -196540?\nAnswer: -292879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve l + d = 4, 69 + 11 = 20*l - 2*d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -5394, -21635, -48720, -86643, -135398?\n\"Answer: m**3 - 5428*m**2 + 36*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.41 - -1.41. Let k = 0.2 - 0.7. Let p = -0.8 - k. What is the biggest value in p, z, 3\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -72\/7 + 346\/35. Let o = 20.7 + -21. Let v = 0 - o. Which is the closest to h?  (a) -0.2  (b) 4  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54571*s + 0 + 0 - 54571*s + 218290*s - 54573*s - 54571*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a millennium in centuries?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 157\/151410 and -58\/933695?\nAnswer: 5602170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the third derivative of o**6\/120 - 3*o**5\/20 + 3*o**4\/8 - 2*o**3\/3 + 2*o**2. Let m be h(8). Solve -m*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12*(-94 + 122 - 430\/15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -60043000 to the nearest 1000000.\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 178*y = 18685216 - 18701236 for y.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -3881351, -3881729, -3882109, -3882491, -3882875, -3883261?\n\"Answer: -u**2 - 375*u - 3880975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zb when two letters picked without replacement from {z: 6, f: 1, n: 1, b: 2, g: 1, d: 5}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 2*u**3 + 9*u**2 - 106*u - 506. What is r(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 357 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from exvqqqqxr. What is prob of picking 2 x?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-642)\/(-27) - (0 + 2\/(-9)). Let h be (-154)\/(-10) + i\/15 + -2. Solve 2*a - h = -3*c, -2*a + 3*a + 2*c = 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 649 - 648.65. What is the nearest to d in 5, 0.3, 1\/4, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-2\/19)*y**7*y*y*(y*y*y**(-2\/7)\/y)\/(y**(-6)*y)*((y*(y*y**(-1\/3))\/y*y)**(-14))**(18\/5) assuming y is positive.\nAnswer: y**(-9229\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((m**2\/m)\/m)\/m*m)\/m*m*m**(-4\/9)*m)\/(m\/(m**(-1\/4)*m*m*m*m))**(-2\/53) assuming m is positive.\nAnswer: m**(431\/954)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(3 + (((1*sqrt(5040) + sqrt(5040))*-1)\/((sqrt(112)\/(sqrt(8)\/sqrt(2)))\/sqrt(4)) + -3)**2).\nAnswer: 864*sqrt(5) + 17352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1\/2, -79245, 0.1, 1\/3 in increasing order.\nAnswer: -79245, -1\/2, 0, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/((x*x*x**(-4))\/x))**2*x\/(x**19*x)*x**(-7\/4) assuming x is positive.\nAnswer: x**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6 + 361389015.\nAnswer: 361389021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16 - -20 - (0 - -1)) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 611, -1\/6, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*z + 31 + 35 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 60.92444km in meters?\nAnswer: 60924.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes before 6:02 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - 4, 2*c + 2*v - 8 = 2. Suppose c = 5*h - 3*h. Suppose -h*m - 40 = 3*m. Is m at most as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b and 1 v when four letters picked without replacement from bbbbbbbvbbbbbbbbbbbb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-12)\/(-2) + (1 - 2). Let j = 8773 + -8771. What is the second smallest value in a, j, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*f - 1. Suppose f*u = -0*u + 2. Is 8 a factor of (-1)\/(u + (-54)\/51)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 2 f, and 1 c when four letters picked without replacement from {u: 3, c: 1, f: 3, v: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 12774791161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -157, -3, -2, -5 in decreasing order.\nAnswer: -2, -3, -5, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2*i - 3. Let g(z) = z + 2. Let v(t) = -4*c(t) - 6*g(t). Let j(k) = k**2 - 6*k - 2. Let p be j(6). What is v(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 4*((sqrt(637) + sqrt(637)*-2)*5 + sqrt(637)))**2.\nAnswer: -896*sqrt(13) + 163088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3, -11, -57, -153, -317?\n\"Answer: -3*m**3 + 2*m**2 + m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 353*a**2 - 715*a**2 + 377*a**2 - 18*a**3 - a to v*a**3 + m*a + r*a**2 + t and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*f**2 + 7380*f + 2622400.\nAnswer: 5*(f + 596)*(f + 880)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -20 - -37. What is the remainder when 65 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -418 * -31.166.\nAnswer: 13027.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13735*s**3 + 29469*s**3 - 14871*s**3.\nAnswer: 863*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 5, s: 3}. Give prob of sequence spp.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -168 + 167.7. Let k(g) = 22*g - 239. Let l be k(9). Which is the nearest to -2?  (a) d  (b) -5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:31 PM and 9:30 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 188.0267 millilitres to litres.\nAnswer: 0.1880267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 10231800 to the nearest 10000.\nAnswer: 10230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the second derivative of 0 - 1\/5*s**4 + 0*s**3 + 4\/25*s**5 - 2\/75*s**6 + 4*s + 0*s**2. Factor t(j).\nAnswer: -4*j**2*(j - 3)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (58 - -6 - 171) + -1 + (7 + 2 - 4).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 374*h + 664. Let n be q(-2). Let z be (4\/(-6))\/((-1)\/(-126)). Let i = n - z. Which is smaller: i or -1\/47?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**2 - 5*m + 4. Suppose 3*n = 8 + 7. Let j be x(n). Solve -j*w + 7*w = 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-8)\/36 + 8\/36. Let d(z) be the first derivative of 1 + 2\/3*z**3 + w*z + 0*z**2 - 3\/4*z**4. What is the third derivative of d(c) wrt c?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 2*a + 2)*(5 - 2 - 1) + 4 - 4 - a)*(1 - 1 - 1 + (-4 + 2 + 0)*(-3 + 2 + 3) + 1 + 4 - 7 - 2 - 3 + 7).\nAnswer: 25*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4847844.5 rounded to the nearest 100000?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/36*((-51)\/3 - (77 + 131))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 2*r + 96506 - 5*r - 96506 + 4*r. Let x(k) = 100*k**2 - 4. Let a(m) = 201*m**2 - 7. Let l(v) = 4*a(v) - 7*x(v). What is n(l(z))?\nAnswer: 104*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(136)*2)\/(-2*(sqrt(8) + sqrt(32) + sqrt(8)) + sqrt(8)).\nAnswer: 10*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 75d - 2a?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10*j**2 + 1402289615*j + 701144810.\nAnswer: -5*(j - 140228962)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -625989, -625990, -625991, -625992, -625993?\n\"Answer: -a - 625988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 34326\/36 - (-3 + (-14)\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 684, 1311, 1932, 2547, 3156, 3759?\n\"Answer: -3*p**2 + 636*p + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3\/12328 and 9\/20.\nAnswer: 61640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2136, 2137, 2138?\n\"Answer: m + 2135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -54\/407 and 125\/222?\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 8*k - 2. Let c(b) = 9*b - 3. Let g = 7986 + -7990. Give g*c(m) + 5*z(m).\nAnswer: 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*o + 5 - 5)*(137*o**3 + 154*o**3 - 24*o**3) in the form n*o + a*o**4 + j*o**3 + v + r*o**2 and give a.\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 3*l - 11. Let j be f(6). Solve -j - 9 = 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -202*v + 97. What is the hundreds digit of g(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 + 2 + 2\/1. Let u(y) = y**2 - 22. Let p be u(4). Let s be (p\/12)\/(11\/(-110)). Solve -6 = s*l - q*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3*(-3 - 105\/(-9)). Let t(k) = -k**3 - 27*k**2 - 27*k - 5. Is t(r) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -3*n - a, 7*n = 3*n - 4*a + 4. Suppose -h - 90 = n*h. Let x = h + 46. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -91*z - 58. Calculate the lowest common multiple of 32 and s(-2).\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -755 + 681.5. Round u to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -852 + 851. Let q(r) = -20 - 7*r - 3*r + 20. Determine q(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 1 + (2 - -1) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 19*a - 37*a**4 - 19*a + (3*a**4 - 2*a**4 + 0*a**4)*(0 - 3 + 2) + 80*a**4 - 81*a**2 + 81*a**2.\nAnswer: 42*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 29 - ((-4)\/(-1) + -2). Let l = s + -53\/2. Let v = -714.9 - -713.9. Which is the third smallest value?  (a) 1\/4  (b) l  (c) 3\/2  (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -392.01999953564 - -392.02. What is g rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 2*a - 9 - 2*a + 6 - a**2 - a. Let d = 0 - 0. Calculate w(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4505433991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -0.5, 0.3, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h - 6*t + 4*t + 1530, -4*h - 5*t = -2040. Suppose -4*n = 4*r - 708, -4*r = -4*n - 174 - h. Is 36 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1221211120 (base 3) in base 10?\nAnswer: -38517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 21*k - 24. Let b(p) = -12*p - 5. Let u(j) = -23*j - 8. Let i(s) = -11*b(s) + 6*u(s). What is 18*i(n) + 5*o(n)?\nAnswer: -3*n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -2\/3, 3 in decreasing order.\nAnswer: 3, 2\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -181*i*m**3 - 2943*i - 2096*m**3 + 126*m**2 + m wrt m?\nAnswer: -1086*i - 12576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/2*(-12)\/(-3). Let n be a\/7 - (-573)\/21. Suppose -r = 2*r - n. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2554 divided by -5\nAnswer: 2554\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 2*f - 7. Let s be w(5). Suppose -s*l + 133 = t - 13, -4*l - t = -196. What is the highest common divisor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3669 - -3650. Which is the closest to -0.2?  (a) l  (b) 2  (c) 0.1  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 AM and 5:52 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**3 - 9*b**2 + 136*b - 152. What is o(-16)?\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 49, 11\/4, 0.05, -4.\nAnswer: -4, 0.05, 11\/4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 2070*x. Let b(o) be the second derivative of o**4\/12 - 8*o - 14. Give h(b(a)).\nAnswer: 2070*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 8) in base 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 111452?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 736841 smaller than 736838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-26)\/(-22) + 1)\/(-6 - -4) and -33\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 684542 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 242331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -23.5167 and -100.\nAnswer: 2351.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/28*(45 - 52)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2657651 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 3*p + 14 - 7*p + 20*p + 2*p - p**3 - 2*p**2. What is the hundreds digit of v(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbpbpgebgpcybyg. Give prob of picking 1 e, 1 y, 1 c, and 1 p.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**8*p*p)\/(p**3\/p))**(-14\/9) assuming p is positive.\nAnswer: p**(-112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4515963209 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 137*s**2 - 3*s - 3. Is r(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 2 x when four letters picked without replacement from {x: 7, z: 2, n: 4}.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -65*j - 45 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((6\/(-2))\/(2940\/(-80)))\/(34\/(-15 + 32)).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 5, i: 5}. Give prob of picking 2 h.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 9*j**3 + 36*j**2 + 73*j + 13. Let f(o) = 4*o**3 + 17*o**2 + 36*o + 6. Calculate 13*f(n) - 6*q(n).\nAnswer: -2*n**3 + 5*n**2 + 30*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -2*b**2 - 2*b. Let k be f(3). Let x = -51\/4 + -12. Let w = x - k. Put 3\/4, w, -1\/7 in decreasing order.\nAnswer: 3\/4, -1\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 99 = -5*j + 124, 3*j - 15 = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t\/(t\/t**(-14))*t))\/t*t\/(t\/t**(-2\/5))*(t**(-2\/3))**(-9\/4))**(-16) assuming t is positive.\nAnswer: t**(-1128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85*t - 84*t = -284. Let k = t - -402. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 0*z = 3*w + 260, -z + 268 = -3*w. Let v(c) = -c**3 + 15*c**2 - 6*c - 4. Let h be v(11). What is the tens digit of h\/22 - 16\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99)*5*5)\/(sqrt(9) + (-1*sqrt(441) - sqrt(441))) + 5)**2.\nAnswer: -250*sqrt(11)\/13 + 11100\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 469236 and 1796.\nAnswer: 210686964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 11, i: 2}. What is prob of picking 1 h and 1 i?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 24*z**3 - 53 - z**2 - 44*z**3 + 19*z**3 as g*z + y*z**2 + h + w*z**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -153389737, -153389736, -153389733, -153389728, -153389721?\n\"Answer: l**2 - 2*l - 153389736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.27902 from -5110514.0882.\nAnswer: -5110513.80918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/2*15\/10\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhrthrrrt. Give prob of picking 3 h.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13.411 + -0.089. Let p = -10.5 - o. What is the closest to p in -0.1, -2\/9, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -31 - -5. Let c be v\/(-7) + (-8)\/(-28). Let l be 4\/8*1\/4. What is the biggest value in c, 0.1, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48\/97 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 20, 2, 6, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 33 (base 5) to base 9\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*253.\nAnswer: -75.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -2*c**2 - 6*c - 6. Give n(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y**2 + 177*y - 1137. Calculate d(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 75891 + j - 75891.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 2*j. Let l(s) = 6625*s. Determine g(l(a)).\nAnswer: 13250*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/(-48))\/(582\/97)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2*c**3 - c**2 - 2*c + 3. Suppose -8 = -3*d + 37. Calculate the remainder when f(3) is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*o\/(o*o**(-1\/21))*o)*o**(-20)*o*o)\/(o**(1\/6)\/(o*o**(25\/6))))**(5\/4) assuming o is positive.\nAnswer: o**(-1475\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11 - 34) + -37 - -32.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -10.02 and 5.97378?\nAnswer: -59.8572756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2449623350?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((sqrt(55) - (sqrt(55) + 1*sqrt(55)*1))\/(-5*sqrt(20)) - ((sqrt(1331) + -1)*-3 - (1*(sqrt(1331) + 1) - sqrt(1331))**2)) + -1)*2.\nAnswer: -993*sqrt(11)\/5 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-200)\/(-500)*(-20)\/236?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jtjnnntvjnjpjjp. What is prob of sequence ntj?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 39 and 63869.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1278.1709839 rounded to two dps?\nAnswer: 1278.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -6, -1, -8109, -2, 3, -10 in decreasing order.\nAnswer: 3, 1, -1, -2, -6, -10, -8109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 4*u**2. Let y(q) = 4*q**2 - 85*q + 51*q + 34*q. What is 3*o(v) - 4*y(v)?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 62.91 + -63.31. What is the biggest value in b, -2.08, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 535, 1075, 1625, 2191, 2779, 3395, 4045?\n\"Answer: x**3 - x**2 + 536*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -70 or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -107*r + 321. List the prime factors of w(-35).\nAnswer: 2, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2ab9 - 57b?\nAnswer: 253b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.04 and -6.76.\nAnswer: 0.2704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 758, 692, 612, 512, 386, 228, 32, -208?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 97165 - 21764917\/224. Calculate the common denominator of t and 21\/592.\nAnswer: 8288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.902 times -0.0347?\nAnswer: -0.1006994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -5  (b) 2\/55  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13 + -19.4. Let d = z - -5.42. Let l = 0.02 - d. Which is the nearest to l?  (a) -2  (b) 0.1  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3872 + 11411 - 2889)*(0*l + 0*l + 3*l) to the form i + n*l and give n.\nAnswer: 13950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5211856635?\nAnswer: 3, 5, 67, 5185927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, -1\/10, -23, -0.3, -2 in descending order.\nAnswer: -1\/10, -2\/9, -0.3, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1\/2, -20\/3043, -2?\nAnswer: -20\/3043","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 1 = -4*t + 3, 3*c - 9 = -t. Suppose 6 = -c*s + 26. Suppose 0*v = -i + 2*v + 12, -60 = -5*i + s*v. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-122)\/(-18) + -2 + 1 and 19\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -959 = -4*b + 1397. Suppose p - 2*t - 148 = 0, -3*t + 12 = -4*p + b. Let s = 227 - p. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 16, 47, 98, 163, 236, 311, 382?\n\"Answer: -s**3 + 16*s**2 - 10*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of -48 + 0*x**2 + 2\/3*x**3 + 0*x. Let d(r) = 0*r + 8*r + r. Calculate d(b(p)).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 6*l**2 + 4*l - 20. Is w(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 + 15*t**2 - 14*t - 5. Let g be j(14). Sort 5, g, -3.\nAnswer: g, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -245301446971850 - -1.\nAnswer: -245301446971849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(-2))**(-41)*(y**(1\/3)\/y)\/(y\/y**2))**(-30\/7) assuming y is positive.\nAnswer: y**(3680\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -5*n + 4*n. Let z(u) be the second derivative of u**3\/3 - 3*u**2 + 3*u. List the prime factors of z(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 2*u + 8142, -4*n - 40746 = -9*n - 2*u. Calculate the greatest common factor of n and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes before 8:38 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7267, 14534, 21805, 29080, 36359?\nAnswer: 43642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*s**4 + 30*s**3 - 1 - 48*s**3 + 5*s**2 + 20*s**3 in the form h*s**4 + t*s**3 + w + b*s + o*s**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -58.33 + 58. Let q = -0.79 - h. Round q to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 486 is divided by 255?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 9158, 22301, 44206, 74873?\n\"Answer: 4381*m**2 + 4777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 24 and 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:46 AM and 1:25 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.24465 - 0.2446484553. What is r rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*t - 989 = -2889. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4476 and 18536608?\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 17 - 13. What is the third biggest value in -2\/9, 1\/3, u, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -1297*d + 17579. Let z(x) = x. Determine p(z(s)).\nAnswer: -1297*s + 17579","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 5961*s + 47040. What is o(-8)?\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the third derivative of -19\/3*b**3 - 65\/8*b**4 + 0 - 3*b**2 - 24*b. What is the derivative of j(d) wrt d?\nAnswer: -195","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**4 - 2200*i**3 - 605000*i**2.\nAnswer: -2*i**2*(i + 550)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**2 - 13*b + 14. Let j be n(11). Let i = -17 - j. Let h = i - -12. Solve h*v + v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = 4*c + 7, -3*c + 39 = -4*i + 13. Let o(n) = 9 + 8*n**2 - 3*n**3 + 9*n + 4*n**3 - c + 3*n**2. What are the prime factors of o(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2679927459 to the nearest integer?\nAnswer: 51768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the third derivative of q**7\/70 - q**6\/25 + q**5\/100 + q**4\/20 - q**2 - 95*q. Suppose m(b) = 0. What is b?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17 - 1. Solve 3*o = -o + q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -c**2*h**2 - 186*c**2*h + 391*h**3 wrt h.\nAnswer: -2*c**2 + 2346*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 - 3 + 7 - 3 + 5 + 0 + (-3 + 1 + 1)*(4 - 3 - 3) - 1 + 0 + 0)*(1 - z**5 - 1).\nAnswer: 3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 10 - (210 - 215)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -38, -155, -340, -587, -890, -1243, -1640?\nAnswer: -2075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -17*g - 5. Let s be x(-1). Let p be (-1945)\/(-6) - (17\/102 + 0). Calculate the highest common divisor of p and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*n - n**2 + 5*n + (1 - 2 - 1)*(0*n**2 - n**2 + 0*n**2) to a*n**2 + i + j*n and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 264719285927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 10300031010 (base 4) to base 6\nAnswer: 42412340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5191039391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 55\/9 and 101\/254.\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13 - 12. Suppose 1 = n - l. Let c = 0.07 - 1.07. What is the closest to n in c, -1\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j - 0*j. Let p be j\/((9\/3)\/(-3)). Suppose -5*y + u + 63 = p, u + 18 = 2*y + 3*u. Calculate the highest common divisor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 151 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 6\/5 of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 22020 (base 3) to base 4\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:58 AM and 3:26 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w = -w - 440. Suppose w = 5*k - k. Calculate the lowest common multiple of k and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1095, -2228, -3363, -4500, -5639, -6780, -7923?\n\"Answer: -u**2 - 1130*u + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 13*j - 18*j + 2*t - 6, 0 = 5*j + 2*t + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-84)\/((-28)\/(-4)) + 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-64)\/496)\/(2916\/(-15066))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, h: 2, j: 4, x: 1, v: 1, y: 3}. Give prob of picking 1 j, 2 h, and 1 y.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ososssfofoosssoo. What is prob of sequence os?\nAnswer: 49\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9266 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1705588 is divided by 34111?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12 + 4*m - 4*m + 2*m - 13 - m + 106*m**3 + 4*m**2 to the form g*m + x*m**2 + k*m**3 + s and give k.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -233 + 363. Let k = 105 - z. Which is the third smallest value?  (a) k  (b) 4\/5  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2\/9 + 4*a - 18.\nAnswer: -2*(a - 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81448 is divided by 10175.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.0170625 to 1 decimal place.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(1 + (sqrt(1584) - (sqrt(1584) + -1 + -5)) + (sqrt(1584) + -1)*-5 + (sqrt(1584) - (-2*sqrt(1584) + 4)) + sqrt(1584)))**2*5*-5.\nAnswer: -1030000 + 120000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -329, -223, -45, 205?\n\"Answer: 36*u**2 - 2*u - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2 + -1 + 1)\/1. Let a(n) = 0 + 3*n - n**2 - n**x - 1. Give a(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1013 is divided by 208?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 30, -3, 1, -2, -10, 0 in descending order.\nAnswer: 30, 1, 0, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y - 1. Let q(t) = -2*t**2 + 7*t + 6. Determine 5*k(r) + q(r).\nAnswer: -2*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (54\/20)\/(-9)*(-4)\/2. Let l be 8 + (-10)\/((-2)\/(-18)*12). Let r = -1 + 1. Which is the nearest to r?  (a) h  (b) l  (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -4*r**5 + 5119*r**4\/5 + 15796*r**3\/5 + 857*r**2\/5 - 20716*r\/5 - 1036\/5 = 0.\nAnswer: -2, -1\/20, 1, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*f**4 + 5*f**4 + f**4 + (-3*f**2 - 2*f**2 + 3*f**2)*(3*f**2 - 10*f**2 + 10*f**2) + 7*f**4 - 7*f**4 - f + 7 - 2*f**4.\nAnswer: -7*f**4 - f + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -8*x**2 + 7*x + 7. Let r(k) = -k**2 + k + 1. Let m = 16 - 13. What is m*y(p) - 21*r(p)?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1253*k + 3255 + 23058 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ckp when three letters picked without replacement from {k: 1, c: 3, p: 5}.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the second derivative of i**4\/12 + i**3\/6 + i. Let q(y) = 3*y**2 + 4*y. Calculate 12*n(o) - 3*q(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.21 + 5.03. Let g = -0.24 + q. Let r be (2\/(-12))\/((-4)\/18). Which is the biggest value?  (a) r  (b) g  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 8*o**2 + 4*o + 1. Let u be r(2). Suppose 4*n = -3*a + u, 2*a + 10*n = 8*n + 28. Is (1300\/8)\/5*24\/a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -77\/631494 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.10598*2.22\nAnswer: 0.2352756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-49)\/3 + (-1)\/(-3). Let h = s - -16. Suppose -3*l + m + 214 = h, -l - 2*m + 74 = -m. What is the highest common divisor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-236)\/(-16) - (-3)\/12. Let k(l) = -13*l - 7 + i*l**3 - 13*l**2 - 13*l**3 - 3*l**3. What is the units digit of k(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 76 - 107. Let x = 33 + p. Suppose -2*d + c = -599, -6 + 4 = x*c. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 2*v + 57. What is the tens digit of r(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 123 and 4277880?\nAnswer: 175393080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10591 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*g - 8*g = 35*g - 3*i + 4, 4*i = -4*g + 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.78 - 0.3.\nAnswer: 1.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**2 + 567*s - 10341. Suppose -j - 4*l - 12 = 0, 0 = 2*l + 4 - 0. Let a(w) = 284*w - 5172. Let x(h) = j*c(h) + 9*a(h). Suppose x(b) = 0. What is b?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7\/297 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**2 + m - 1. Let r(o) = -7*o**2 + 3*o + 1. Let p(d) = -3*b(d) + r(d). Solve p(a) = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*(s**18*s*s)\/s)\/s)\/(s**12*s))**49 assuming s is positive.\nAnswer: s**294","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + d - 5*y = -7, -3*d + 2*y + 20 = 0. Let b = 0 + 1. What is the lowest common multiple of b and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -32, 4137, 5, 83 in increasing order.\nAnswer: -32, 2, 5, 83, 4137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16 + 8.61.\nAnswer: -7.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 13 + 3. Suppose s*o = -12, -2*c + 3*o = -5 - 8. Factor 218\/7*x**c + 8\/7 + 36*x**3 + 14*x**4 + 72\/7*x.\nAnswer: 2*(x + 1)**2*(7*x + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1557*m**3 - 3*m**2 - 160*m + 1 wrt m.\nAnswer: -9342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6053744?\nAnswer: 2, 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/49 + (1 - (-171)\/(-84))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 139\/2 - 63. Let k = j - 12. Which is bigger: k or -6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1265460 to the nearest ten thousand.\nAnswer: -1270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25844 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 100312 (base 9) in base 5?\nAnswer: 3344203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10\/11 + -51\/44. Let s be (4 + (-105)\/20)*(-24)\/6. Suppose 0 = -3*o + q - 2, -3*o + 0*q = -3*q - 6. What is the nearest to -2\/7 in f, s, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*r - r**4 - 2*r**2 - 5*r - r + 2*r**3 as m + q*r**2 + x*r**4 + t*r + u*r**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 4*q**3 + 28*q**2 + 20*q + 12. Let t(p) = 7*p**3 + 52*p**2 + 39*p + 25. Let x(r) = 5*c(r) - 3*t(r). Calculate x(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 170\/10*(-896)\/(-32368).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1189, 2519, 4007, 5653, 7457?\n\"Answer: 79*s**2 + 1093*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(648) + 2*sqrt(648) + sqrt(648))\/((sqrt(60) + sqrt(60)*2)\/sqrt(10))*2*4.\nAnswer: 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 492778 divided by -3446.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*w + 17321 - 17411 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*z + 81 - 17 = -2*p, 3*p = z - 35 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1369299204*n - n**3 + 1369299204*n.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41, 4, -231, 1, -4 in increasing order.\nAnswer: -231, -4, 1, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 17929649*q**3 - 320*q + 336?\nAnswer: 107577894*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 3*q**3 - 4*q**2 - 4*q - 4. Let h(m) = -m**2 - 1. What is -4*h(w) + s(w)?\nAnswer: 3*w**3 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2532 and 538894.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.025 * -0.1197\nAnswer: 0.0029925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -c - 3*h - 3, -h - 1 = -2*c. Solve -4*z - 16 = -4*b, -z + b + 3*b - 13 = c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 20 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2042 - -2042.3. Let a = 0.1 - 0.1. Let c = -0.1 - a. What is the second smallest value in i, c, -6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -15*z. Let k be x(-3). Let s = k + -41. Solve -s*j + 7*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 8206712, 16413482, 24620242, 32826986, 41033708, 49240402, 57447062, 65653682?\n\"Answer: -w**3 + w**2 + 8206774*w - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1632 + 4?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4105 - 4105 + 388*d**4 - d**3 + d**3 - 522*d wrt d.\nAnswer: 4656*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 3548, 3550, 3552, 3554, 3556, 3558?\n\"Answer: 2*h + 3546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) + -1 + -1 + -1)**2.\nAnswer: -6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = r + 3*r. Suppose -r*q + 15 + 5 = 0. What is the greatest common factor of q and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from qqqqrdqcqqcccdqcqrqc.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (-21)\/9)\/((-10)\/90)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 237*d - 164*d + 71568 = 129*d. What is the remainder when 3847 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 31*t**2 + 8*t - 6. What are the prime factors of v(-4)?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2*3\/(-2) + 3. Let i be -1 + 2 - (r + -2). Let h(w) = w**2 - 9*w + 5. Let p be h(9). Solve 0 = p*a - i - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.39 and 20472.15.\nAnswer: 20472.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-7128)\/(-105) - 4\/14. Let x = 67 - k. Let t = -555 - -554. Is x less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8411932ng in tonnes?\nAnswer: 0.0000000000000008411932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 7.741734nm?\nAnswer: 0.000000007741734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 - ((-18608)\/(-4650) + -4). Let j = o + -76693\/18600. Find the common denominator of j and -1\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 12*u**4 + 3975*u**3 + u**2 - 166051 wrt u?\nAnswer: 48*u**3 + 11925*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, n: 6, s: 10}. Give prob of picking 1 a and 2 n.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 54  (b) -4  (c) 3  (d) 4\/3  (e) 0.2  (f) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1386 + -894. Suppose 2*d + 3 = -1, 2*h - q = -4*d. Suppose 0 = x + 3, 4*v - x = x + h. What are the prime factors of v?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l**2 - 26*l - 12. What is the remainder when 42 is divided by n(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2. Let x(o) = 1735171*o. Determine b(x(m)).\nAnswer: -3010818399241*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -111\/5 - -1211\/55. Let m = -29.4 + 29. Put m, t, -1\/3 in decreasing order.\nAnswer: t, -1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 3*b - 2*l + 10, -2*b = -5*l - 9. Let z be 1*b\/((-40)\/165). Calculate the greatest common factor of z and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 2*a. Let x(u) = 5*u. Let l(y) be the second derivative of -5*y**3\/3 + 3*y. Suppose 2*c - 6 = 4. Let p(j) = c*x(j) + 3*l(j). What is p(w(d))?\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 757 divide 1155920697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(-48)*((-225)\/20)\/(-5).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/4  (b) 3  (c) -1\/3  (d) 0.2  (e) 0.5  (f) 1948\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18 and 17352.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -38, -31, -2, 61, 170, 337, 574, 893?\n\"Answer: 2*w**3 - w**2 - 4*w - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -867 and 0.47.\nAnswer: -407.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9308 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1897678.8 microseconds to days.\nAnswer: 0.000021963875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 37896982469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t + 84 = -0*t. Let a be (-6 - -4 - t)\/2. Suppose 5*g - 2*x - 3951 = 0, -a*g + 5*x - 520 = -4480. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 50160000 to the nearest one million.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1))**(-3\/10))**4*(y\/(y*(y**(2\/7)\/y)\/y))**(-27)*(y*y\/(y*y*y**(1\/7)*y))\/(y**(1\/3)*y*y) assuming y is positive.\nAnswer: y**(-5099\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -77, -132, -187, -242, -297, -352?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -5 + 3 - j + 13. Let g be s(6). Let y(i) = i**2 - 4*i - 1. Let p be y(g). Sort -0.4, -4, p in increasing order.\nAnswer: -4, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s**4\/7 - 6*s**3\/7 + 27*s**2\/7 + 54*s\/7 = 0. Calculate s.\nAnswer: -3, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6999155 rounded to two dps?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9260.\nAnswer: 2, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (8\/20)\/(-1)*-10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 782, 1563, 2344?\nAnswer: 3125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence evec when four letters picked without replacement from cveecceeec?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4959 and 684?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 - -4. Find the second derivative of -c**5 - j*c**4 - 2*c + 2*c**4 + c wrt c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**2 + 11*z + 12. Suppose -3*f + 2*t - 5 + 20 = 0, -4*t = -12. Suppose f*w + 81 = -2*w. What is y(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1343\/30 + 1137\/20. Find the common denominator of -57\/64 and p.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 253340\/7 greater than 36192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 984847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 251 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 + -11. What is the closest to j in -5, 0.5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000005414378 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*20\/(-110) + (-2)\/(-11). Suppose -5*f + 14*f - 3348 = r. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.2 or 639390507?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 45.2 + -45. Let s = 2495 - 2497. What is the second biggest value in s, -2\/3, q?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + -46. Let v = -45 - i. Suppose 3*w - 5*z - 13 = 0, 0 = -v*w + 2*z + 9 - 3. Is 1\/55 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45337.\nAnswer: 45337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-24)\/(-5) - (-115)\/575. Solve v + 11 = -3*g, h = -g + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 65 - 41. Let t = -24.1 + b. Which is greater: 0.06 or t?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -447, -1752, -3933, -6996, -10947, -15792?\n\"Answer: -y**3 - 432*y**2 - 2*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, 11 in decreasing order.\nAnswer: 11, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15 and 10815.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2b3 (base 16) to base 3.\nAnswer: -221121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*q + 68 + 38 - 9*q**3 - 99.\nAnswer: -9*q**3 + 7*q + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 907978873 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 383420?\nAnswer: 2, 5, 19, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -23 + 37. Calculate the remainder when x is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h + 17. Let l = -61 + 48. Let u be s(l). Solve -4*x + 2*x - u*m = 20, 2 = 3*x - 2*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2*z + 9 + 31 + 23. Let k be l(12). Is 40 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((16\/6)\/(-1))\/(((-19)\/57)\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/30 in -3, -411, 35?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**2 + 8*q + 3. Suppose 2*c = c. Suppose -b - 5*n + 24 = -n, c = 5*b - 3*n - 28. Let v be h(b). Solve -o = -4*o + v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*g + 4*g - g + 4*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 5, f: 5, m: 7, y: 2}. What is prob of picking 1 m and 2 f?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 4) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.52 + 0.28. Let p = -50.6 - y. Let o = p - -51.713. What is o rounded to two dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 46893 or -797?\nAnswer: 46893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the second derivative of -41*v**6\/30 - 11*v**3\/6 + 3*v**2\/2 + 8*v + 3. Find the second derivative of w(g) wrt g.\nAnswer: -492*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/84*6 + (-26)\/(-28)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + y = -8, 5*y + 4939 = 4949 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2\/3 - 7852*y + 13729095.\nAnswer: -(y - 1635)*(y + 25191)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2502 + 599. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 509*w. Let t(h) = -h. What is t(a(c))?\nAnswer: -509*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 257564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -8*y**2 + 7. Let z(m) = -8*m**2 + 6. What is -6*j(f) + 7*z(f)?\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 plus -40669952313?\nAnswer: -40669952308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 15 = 3*q, 0*w = -3*w. Solve q*v = -5*l - 50, -2*v - 10 - 25 = 5*l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 3*u + 1052 = -0*q, -3*u - 12 = 0. Suppose 4*j + 2*x + 78 = q, -x = -5*j + 557. Calculate the greatest common factor of 28 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a - 5*a = 20. Suppose 328*p - 329*p = 2*w, 0 = 2*p + 2*w - 2. Solve -p + 18 = a*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:18 PM and 10:08 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 10057371.525 to the nearest one hundred thousand.\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6\/13?  (a) -0.392  (b) 3  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 261 = 3*b - 54. Suppose 2*g + 9 = -0*x + x, -x = -4*g - 3. Calculate the highest common divisor of b and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -13165 in 1\/2, 4\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 - 1867?\nAnswer: -1862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 81\/66 - 1*57\/(-209).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y\/(y**(2\/3)\/y)*y)**(1\/25)\/(y**(2\/9)*y)**(-15\/2))\/((y\/y**(2\/9))**(-2\/17)\/(y**7\/(y*y*y**(2\/13)\/y*y))) assuming y is positive.\nAnswer: y**(283187\/19890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(120) - sqrt(120) - sqrt(120))\/sqrt(3) + (sqrt(40) + sqrt(360))*6)\/((sqrt(56)*1)\/sqrt(7) - (sqrt(8) - (sqrt(72)*6 + sqrt(8)))).\nAnswer: 23*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 - 0.152308?\nAnswer: 0.047692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-27)\/6*-16)\/(-1). Let d be (1\/1)\/((-6)\/j). Suppose 5 = g - 1. What is the greatest common factor of g and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (-2 - (-2 + 2) - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -4*s + 106 + 162, 0 = 4*c - 16. Suppose -54 = -4*i + 2*i + 4*d, 3*d - s = -5*i. Let r = 25 - i. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39626566 a multiple of 2325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - -6. What is the second derivative of 9*a**4 - 4*a**4 - 7*a**q + 6*a wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 673.0333658 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 4 = 4*f, -2*i = -14*f + 10*f + 2. Factor -15\/2 - 5\/6*x**f - 25\/3*x.\nAnswer: -5*(x + 1)*(x + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (4 - -1) - (-4 + (-11 - -3))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -3*m**3 - 5*m**2 + 2*m + 8. Suppose 5*t + 4*d = -8, 3*d = 3*t + 7*d. List the prime factors of r(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3134 is divided by 130?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**3 + 19*n**2 + 46*n + 536. Determine a(-18).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y. Let c(x) = 224*x - 136. Let s(q) = -5*q + 3. Let g(f) = -f**2 - 6*f + 6. Let w be g(-6). Let d(j) = w*c(j) + 272*s(j). Give d(a(t)).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (-16 + 30 + -19) - 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 110110111110001110 (base 2) in base 14?\nAnswer: 5c0b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*a - v - 10, -a + v = 0. Suppose a*r + 0*r - 15 = 0. Solve -3*j - 2*x + 0 = -r, -5*j = -x + 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 8*r - 14*r + 12*r - r**2 - 2*r**2 to the form i*r**2 + c*r + y and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as -1\/685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 22202021201 (base 4) in base 13?\nAnswer: 758b19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*n + 5088 = -35*n. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1791*h**2 - 6443*h?\nAnswer: 3582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 s when three letters picked without replacement from tkktkskskktys?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1809 in 2.21, 4, 3?\nAnswer: 2.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 69 + -71. Which is the biggest value?  (a) v  (b) 3\/5  (c) -0.5  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110\/(-1188)*-9*3\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1572623\/326 - -4824. Let h = -7742\/163 - n. Let z = 497717\/45588 - 4\/3799. Calculate the common denominator of h and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 26*x**2 + 12. Let c(l) = -l**2 - 1. Calculate -12*c(w) - v(w).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*x + 25*x - 107*x + 27*x + 27*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14.12 - 13.053. Let p = k + -0.047. What is p rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 93094.2 nanograms to grams.\nAnswer: 0.0000930942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q = 6*d - 4*d + 17, q - 9 = 3*d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w + 14. What is d(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -372805 from -0.5106.\nAnswer: 372804.4894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 1\/5  (c) -311  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 96*a - 316. Give j(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 q when three letters picked without replacement from {t: 3, q: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of 2 + 3*j + 3\/2*j**2 - 1\/3*j**3 - j**4. Is r(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 134784 + -17308?\nAnswer: 116475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 180 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1125 or -1029?\nAnswer: -1029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1110804*w - 555403*w - 555394*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tnhh when four letters picked without replacement from nhtgggghngttt?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -6*4\/6*-1. Let t(l) = 11*l**2 - 21*l + 7. Let u(k) = -7*k**2 + 14*k - 5. Let s(a) = -5*t(a) - 8*u(a). Let m be s(6). Sort c, m, 3.\nAnswer: m, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -75 - -70.1. Let l = 0.1 - s. Put 0.4, l, 0 in ascending order.\nAnswer: 0, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 49\/6  (b) -77\/6  (c) -3\/5  (d) -1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 2*p + 4 = 0, 491*g - 469*g + 2 = -5*p - 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 105824 - 52*b - 3*b**2 - 20*b - 105893 = 0.\nAnswer: -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -98143 (base 11) to base 3.\nAnswer: -21020120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 136160000 to the nearest one million.\nAnswer: 136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 9 + 27 = 0. Let w = 10 - t. Is 4*(-4)\/w + 32 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -12*j**3 + 5*j**2 - 3*j - 78. Let c be o(-9). Let m = c + -5135. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -42*r - 842. Let l(c) = 32*c + 839. Give 3*i(k) + 4*l(k).\nAnswer: 2*k + 830","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 158 - 17 = -3*s. Let m = 32 + s. Let r = m - -34. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/(-33) + (-6)\/(-33). Let q be 0 - (3 + t) - -3. Let c be 0\/(-2) + q - -2. Solve v + v + c = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8*1008.52829.\nAnswer: 8068.22632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.011 + -0.311. What is the nearest to -2 in 1\/15, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1196880*q**2*z**2 - 2*q**2*z - 33*q*z**2 - 7*q*z + 193*q + z**2 wrt q.\nAnswer: -2393760*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/28*(8640\/210)\/(-16)*(-14)\/(-3)?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -2314.\nAnswer: -5\/2314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times -191793?\nAnswer: 958965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -594099, -1188201, -1782303, -2376405, -2970507, -3564609?\nAnswer: -4158711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the third derivative of f**5\/60 - 19*f**4\/24 - f**3\/3 + 10*f**2. Let d be i(19). Let b = -2 - d. Solve b = x + 3*j - 11, 3*x + j - 1 = -0*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-29 - 1)\/((-75)\/50). Suppose 0 = -583*b + 582*b + v. Solve -4*k + 9*k = -x - 20, x - 3*k - b = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1927118592?\nAnswer: 2, 3, 7, 119489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in 13, -0.6, 0, 4, 4\/103?\nAnswer: 4\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 430165903 a multiple of 590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 4, 10*o - 2*g = 9*o + 14. Solve -o*a + 8 = -8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 2*i**2 + 13*i - 74. Determine p(-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/12 and -157\/1380?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 9) in base 16?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2455, 4, 46, -29 in descending order.\nAnswer: 46, 4, -29, -2455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the third derivative of -13*v**8\/24 - 193*v**5\/60 + v**4\/8 - 13*v**2 - 22*v. Find the third derivative of n(f) wrt f.\nAnswer: -10920*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in one twentieth of a second?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/66)\/((-22)\/(-33))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 4*k - 5. Let h(c) = -2*c - 4. Let j be h(-3). Let i(a) = -25 + 0*a + 5*a + 14 + 5. Let s(v) = j*r(v) - 3*i(v). Differentiate s(t) with respect to t.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -65 or -5?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.5157501 rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 31283311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 38329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 - -1*((2 - -1) + -3). Solve 5*g - 1 = -a*b + 8, 2*b = 5*g - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -8191, -8112, -8033?\n\"Answer: 79*t - 8270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from evummvvvvvvvmvv. What is prob of picking 1 m and 1 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 41*o - 28*o - 780. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {w: 2, a: 1, j: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 7 - 31 = -4*r, 0 = r - 5*k. Suppose -4*w + 4*c - 5 = -25, 0 = -r*c + 25. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(637) - -1*(0 + sqrt(637)) - (sqrt(637) + 1)*5 - ((sqrt(637) + 1 + -3)**2 - sqrt(637) - 4*(sqrt(637) - (sqrt(637) + (sqrt(637) + 1)**2))))*-4*3.\nAnswer: 504*sqrt(13) + 38376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -108 - 35*h + 55*h + 300. What is the remainder when p(-8) is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7602594*a**3 + 2*a**2 + 70365135*a + 3 wrt a?\nAnswer: -45615564*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 1970*m - 1961*m. Let h = -8 + 13. Solve m = -6*r + h*r - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23325822?\nAnswer: 2, 3, 13, 83, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15 + 25. Let u = -4 - -14. Calculate the lowest common multiple of r and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91 - 316 = 5*p + 5*j, 4*j = 4*p + 204. Let g(r) = -636*r + 48. Let z(y) = -67*y + 5. Calculate p*z(l) + 5*g(l).\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 144981*w*z + 3097*w - 109*z + 3047180 wrt w.\nAnswer: 144981*z + 3097","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -h - 3*l, 3*h + 29 - 38 = 3*l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**3\/9 + 38*s**2\/9 - 100*s\/9 + 64\/9.\nAnswer: -2*(s - 16)*(s - 2)*(s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1*0\/1 - 0. Suppose w = 6*i - i + 4*q - 23, 2*i - 5*q = -4. Solve -2*z + 5 = i*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**5 - 6*g**4 + 18*g**3 - 10*g**2.\nAnswer: -2*g**2*(g - 1)**2*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -285189096 divided by 6.\nAnswer: -47531516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14792610 and 417?\nAnswer: 2056172790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 329 and 423?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -133484 - -133601.173. Round d to 1 decimal place.\nAnswer: 117.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1077*w - 974*w + 834 - 2070 = 0 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 + g - 4. Let m be q(-3). What is the third derivative of -x**2 - 2*x**5 + x**5 - x**m wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (6 + 51\/(-6))*(-42)\/5. Suppose -3*m = d + 15, -d + 5*m + o = -4. Let h = 0.23 - 18.23. Is d greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -43  (b) 58  (c) -1  (d) 69  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6215145961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81465184.\nAnswer: 2, 421, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (17 - 22 - (-36)\/4) + -7. Let n(s) = s**3 + s**2 - 6*s - 7. Calculate n(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-65 + 121 - 74)*(4 - 4 - 2*t**2).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7, 33, 75, 133?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 322 or 602?\nAnswer: 602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 - 2. Let b(g) = -315*g**3 - 3*g**2 + 17. Let x(o) = b(o) + 6*j(o). What is the third derivative of x(w) wrt w?\nAnswer: -1854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 2*f + 0 - 1)*(-16*f + 16*f + 10*f**2) to u + g*f + h*f**2 + c*f**3 and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -24 - -201. Let r = 164.9 - b. Let m = r + 12.099897. Round m to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n**3 - 32*n**2 - 764*n + 792 = 0. What is n?\nAnswer: -11, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*i**2*l**2*r - 27*i**2*l*n + 3*i**2*l*r - i**2*r - 2*i*l*n**3 - i*l*n - 54*l**2*n**3 + 3*l**2*n*r wrt l?\nAnswer: -6*i**2*r - 108*n**3 + 6*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(-1))**(-43))**(-29)*(a**1\/a)**(-41)\/(a\/(a**(-3\/7)*a)*a**(-1\/4)\/a) assuming a is positive.\nAnswer: a**(23\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 76835 and 2249170.\nAnswer: 24740870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 26.59 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1217264?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1607 - -1750. What is the remainder when 799 is divided by z?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -757\/4 + 5349\/28. What is the common denominator of l and 52\/19?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 + (8 - 25) - -11)\/(2 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -3. Let j be f\/2 + (-22)\/(-4). Let m be 5\/1*2\/j. What is the smallest value in m, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l**2\/5 + 18531573*l\/5 - 3706314 = 0 for l.\nAnswer: 1, 6177190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(3) + 4)*5.\nAnswer: 5*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.32743156 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1471*j + 1741*j - 1848 = -10758 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - ((4 - 7) + 4 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -4*y**3 + 0*y - 3*y**2 - 7*y + 3*y**3 - 2 + 5*y. Let f be q(-3). Solve 5*k - 6 = f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - j = -62, 3*t - 27 = j + 179. Suppose -387 + t = -5*b. Suppose -3*s - 3*r + b = r, -r + 135 = 5*s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-59)\/236)\/(25\/8).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1872 at most 1874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -29 + 21. Let r be 2\/(-15) + (-591)\/(-45). Let w = l + r. Solve -4*v - 12 = -6*v - w*t, v = -3*t + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -2*d - 4. Let m be i(-4). Which is the nearest to 0.1?  (a) -4  (b) -1\/8  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 682007.5 nanograms?\nAnswer: 0.0000000006820075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1084 + 1083. Is 1\/221 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32590 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13 - 9 - 4 - 82*t to u*t + f and give u.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10*z**4 - 2*z**4 + z**4)*(65 + 91 + 4) as b + n*z**4 + h*z + s*z**3 + f*z**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 50 and 145?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.5, -2, 5\/66, -2708?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 332 - 330. Find the third derivative of -653*u**2 + 3 + 65*u**4 - m*u**5 + 710*u**2 - 1 wrt u.\nAnswer: -120*u**2 + 1560*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/45746, 2\/9, 0.466 in descending order.\nAnswer: 0.466, 2\/9, -1\/45746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 117492481 to the power of 1\/2, to the nearest integer?\nAnswer: 10839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(1100) + -2 + sqrt(11))*-4 + -4)**2.\nAnswer: -704*sqrt(11) + 21360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-9936)\/322)\/((-3)\/14). Let l(t) = -14 + 4 + k*t - 147*t. Calculate l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -6 - 6. Suppose -2*b = 2*h - d*h, -28 = -4*b - 5*h. Let r(y) = y + 2*y + 3 - b*y + 1. Calculate r(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8771 is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(200)*1 + 0 + ((sqrt(2) + 1)*-6*-1)**2.\nAnswer: 108 + 82*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*h**3 + 0*h**2 + h**2 + 0*h + 16*h**3 + h in the form t + s*h**3 + m*h + f*h**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 44694 and 928044?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fgggffffugf. Give prob of sequence fg.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -318 = -3*n - 3*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 - -16. Let d(t) = w*t - 5*t - 6*t**2 - 3*t. Let a(b) = -2*b. Determine a(d(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -85.975 rounded to the nearest integer?\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 114 - 115. Which is smaller: g or -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -2*d**3 + 4*d**2 + 4*d - 4. Let s(l) = -6*l**3 + 11*l**2 + 11*l - 11. Suppose 53 - 33 = 5*v. Calculate v*s(f) - 11*w(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 7 - 5. Suppose h*f = 87 + 114. Is f a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 2*s - 68 = 0, -3*n + 20 = 2*s - 24. Let d(w) = -13*w + 4 - 5 + 1. Calculate the remainder when d(-2) is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 55957, -4 in descending order.\nAnswer: 55957, 8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 - (-6 - -2 - -15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 33 - 43 = 0. Let f be ((-3)\/(-9) - 1)*(o + -11). Solve -7*q = f*q - 22 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 269929 and 9?\nAnswer: 2429361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -839*u - 372*u + 1210*u - 541*u to r*u + j and give r.\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 17543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 - -5. Let h be 4\/(-16) + 11\/f. What is the third smallest value in h, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 55 = 50. Suppose 4*s = c - 5. Solve 3*x = -x - s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.5*0.957\nAnswer: -1.4355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42320.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 64 = -28. Suppose 1684 = 19*j - b*j. Let i = -288 - j. What are the prime factors of i?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 34049107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 8*g - 7. Let c(a) = -5*a. Let p(m) = -9*m. Let i(u) = 7*c(u) - 4*p(u). Let k(y) = 4*i(y) - n(y). What is the derivative of k(f) wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.8 - 1.8. Let d be ((-4)\/(-45))\/((-9)\/(225\/(-10))). Which is the closest to f?  (a) 3  (b) d  (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j - 7. What is q(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2322.482kg in grams?\nAnswer: 2322482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6 - -23830827.\nAnswer: 23830833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82*x = 78*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -210*n*s - 2*n*v**3 - s*v - 437*v**3 - 2*v + 3 wrt n.\nAnswer: -210*s - 2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.214196377 to two decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j + 0*j - 2*j)*(92 - 92 + 2*j**2).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 280 = -3*f, -2*l - 2*f = -124 + 12. What is the remainder when l is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffrbukz. What is prob of sequence rz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 26*s**3 + 2*s**2 + 4*s + 3. Let q be l(-2). Let t = q + 400. Suppose u - t = 105. What is u rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 + 22*v**2 + 12*v - 107. Is d(-21) a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2a + -296a0?\nAnswer: -29671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 154\/8 + 30\/8 + -3. Suppose w = 58*d - 53*d. Put d, -6, 2 in decreasing order.\nAnswer: d, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 46\/1147 and -16\/365.\nAnswer: 418655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -1\/5, 0.4 in descending order.\nAnswer: 0.4, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 581152 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 4 - 6*v)*(-1 - 1 + 4 + 4 + 3 - 4 + (-1 + 1 - 2)*(-4 + 2 + 3) - 7 - 29 + 1) - 1 + 1 + 6*v in the form h + n*v and give n.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1662 + 933. Let j = g + -1355. What is j rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47251493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**5)**(-3\/29) assuming i is positive.\nAnswer: i**(-15\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 6601053841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -18599*m**3*n**2 + 7*m**2*n**2 + m*n**2 - 119578*m wrt m.\nAnswer: -111594*m*n**2 + 14*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18367*j = -18759*j - 32536 for j.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -2*s**2 - 2. Let h(z) = z**2 + 1. Suppose -3*r - 3 = -4*r. Give r*h(i) + m(i).\nAnswer: i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002371709998 to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of -r**4\/4 - 17*r**3\/3 - 8*r**2 + 5*r - 1. Suppose 287*h - 292*h = 80. What is the units digit of n(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z\/((z\/(z\/(z\/(z*z*z*z*z*z*z*z*z*(z\/(z*z**(-2\/7)))\/z*z)*z*z))*z*z)\/z)))\/z)**48\/(z*z\/z**(-3\/5))**(-2\/121) assuming z is positive.\nAnswer: z**(-1277578\/4235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, i: 1, o: 1, e: 1, l: 1, c: 1}. What is prob of picking 1 i and 1 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 899390 - 86.5\nAnswer: 899303.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1445 (base 10) to base 4\nAnswer: 112211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 4*k - 8 = 0. Solve 0*d = -k*d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 30 and 275?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 4*v = 4, -3*d - 5*v + 0*v = -1. Let n be d\/(-12)*14*-18. Let h = n + -23. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1705 is divided by 214.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -28 - -16. Let j be -2 - k\/(-3)*-1. Suppose 4*w - 570 = -j*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 4 + 3)*(-1167*a - 1329*a - 375*a)*(-13*a + 2*a - a) to h*a**2 + v*a + k and give h.\nAnswer: -68904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-371)\/(-4452))\/(1\/3*-1). Which is the nearest to -11?  (a) p  (b) 66  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 2*h. Let v(w) = 248*w**2 - 1950 + 1950. Give v(f(a)).\nAnswer: 992*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes before 6:04 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9984 by 3328.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*3*sqrt(170))\/(sqrt(40)*-3)*-5 + -3 + 1.\nAnswer: -5*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**2. Let j(i) = 4*i - 5 - 3*i + 3. Let w be j(4). Let h(o) = o**2 - 4*o**2 + w*o**2. Calculate h(g(b)).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 612405 (base 8) to base 6\nAnswer: 4155045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (135\/(-15))\/((-33)\/2).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2875 and 230.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 30 - 12. Let x = 27 - c. Let a = x + -2. What is the greatest common divisor of a and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 4*v - 12, 7 = 2*v - 0*r - 3*r. Suppose 0 = 4*c - 4*s - 176, -2*c + c + v*s = -46. Let y = 69 - c. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 + (-9 - 6) + -26 + (-36 - -197)\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 5, 54, 7, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1228895.\nAnswer: 5, 107, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.645 or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the second derivative of -t**3\/3 - t. Suppose -5*k + 24 = -k. Let p(q) = 2 - 2 - k*q. Give p(z(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 2*y**3\/15 - 1024*y**2\/15 + 21802*y\/15 - 23716\/3 = 0.\nAnswer: 11, 490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*a + a - 15*a - 4*a to the form j + y*a and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/197197 or -1?\nAnswer: -2\/197197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 k, 1 g, and 1 u when four letters picked without replacement from {g: 5, k: 1, x: 2, u: 1, b: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 - 6*l + 2. Let t(o) = 110*o**2 + 20*o + 4. What is 3*n(v) + t(v)?\nAnswer: 113*v**2 + 2*v + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 40521626?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.05, 3, 1.1, 2 in increasing order.\nAnswer: 0.05, 1.1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -209158562 divided by -1.\nAnswer: 209158562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 74 - 71. Suppose -51 - 139 = -2*m + 2*b, -w*m + 4*b + 285 = 0. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (130\/325)\/(18\/10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 - 65*k**2 + 273*k + 261. Let y be p(-69). Suppose 0 = 5*b - 4*q - 94, 2*b + 3*q - 32 = -q. What is the highest common factor of b and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -25778  (b) 2\/9  (c) 3  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + 6 + -55 + 12 + (2 - 4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 60626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 - 109*f**2 - 1411*f. What is v(-15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 611 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 3 - 1 = 0. Let f(u) = -u**2 - u. Let d(x) = x**2 - x - 1. Let m(w) = a*d(w) + 2*f(w). Let y(n) = -n**2 + 1. Calculate m(c) - 3*y(c).\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*v - 41*v - 3 = 2*a, a - 5*v - 15 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 158829, 317672, 476515?\nAnswer: 635358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yz when two letters picked without replacement from aahyzyaauazuzyaayz?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 2 = 36*m - 37*m, 3*m - b = 6. Solve 2*r - 124 = -2*g - 122, -2*g + m = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o + 4. Let v be 9 - (1 + 1) - 3. Suppose -4*l - p = 14, 4*l + 3*p - v = -22. What is d(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of v**7\/105 + v**6\/75 - v**5\/25 - v**4\/15 + v**3\/15 + v**2\/5 - 22*v. Solve c(t) = 0 for t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 12245 - 208*t**3 - 38*t**3 - 12087 wrt t?\nAnswer: -738*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (413*a + 558*a - 1195*a)*(-6 + 3 + 2)*(-5*a + a + 2*a) in the form w*a + h + q*a**2 and give q.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*x = 8*x - 900. Suppose 0 - x = -3*j. Calculate the highest common divisor of 108 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 30260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-63327)\/7676*4\/6?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**2 - 6*o - 6. Let q be b(-4). Suppose 6 = 5*l - q*l. Solve 3*h = l*h - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 14323 - 4?\nAnswer: 14314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 3*k - 23, 0*k = k - 3*y - 9. Factor 2*z**2 + k + 2*z**3 - 6 + 0*z**3.\nAnswer: 2*z**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = -9*v - 21. Let c(d) = -d + 1. What is c(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -28448 - -28457. Let o = -17 - -26. Calculate the highest common factor of f and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12652.5 months to centuries.\nAnswer: 10.54375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2940 divided by 2924?\nAnswer: -735\/731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1219 (base 13) in base 11?\nAnswer: 1a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 578 = -11*w - 698. What are the prime factors of (-3059)\/(-23)*w\/(-14)?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 0*z = -4*a + 12, 3*z + 3*a - 12 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36576 is divided by 137?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i\/i**(-1\/5))\/(i\/i**7))\/(i**(1\/2))**(22\/5))**10)**(-20) assuming i is positive.\nAnswer: i**(-1000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 329741277 to the power of 1\/4, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -6*(-5 + (-133)\/(-21) + (-4 - -3)). Put 12, 2, b, 4, 3 in decreasing order.\nAnswer: 12, 4, 3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12) + (sqrt(12)*-2 - sqrt(12))*-4 + sqrt(12))\/sqrt(4).\nAnswer: 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -44 + 39. Let v = 1090 - 6545\/6. Which is the nearest to v?  (a) l  (b) -0.3  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from mkmxkmxukmkkkkmk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3447*u - 58*u + 1734*u + 810*u.\nAnswer: 5933*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 + 6. Suppose -3*i + b*k = 17, -4*i + k - 3*k + 14 = 0. Let y(r) = 17*r**3 - r**2. What are the prime factors of y(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**2 + 378*w - 1965.\nAnswer: 3*(w - 5)*(w + 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 2880.38g?\nAnswer: 2880380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 16 = -a. Let g(q) = 146*q - 1854. Let i be g(13). What is the greatest common factor of a and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 4*g - 49. Let u be k(-23). Sort u, -2, -4 in increasing order.\nAnswer: u, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 4 - (-20 - -22).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 148446?\nAnswer: 2, 3, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*n**3 - 30*n**3 + 57*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64 = 5*v + 3*s, 2*v - 30*s - 22 = -33*s. Which is smaller: 20 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, 2\/5, 1, 19\/20, 0.3, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of j**2*w**3 - j**2*w + 153*j*w**3 - 1067*j*w + w**3 wrt w.\nAnswer: 6*j**2*w + 918*j*w + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.2 + 2. Let w = -28 - -32. Let r = 21\/5 - w. Which is the closest to 1?  (a) -0.3  (b) s  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 2*r - 124 = 0. Let j = -18 - r. Suppose -s + 2*y = 1, -s - y - 4*y = -j. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/638 and (-6)\/(-9)*4\/((-320)\/(-198)).\nAnswer: 6380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pptt when four letters picked without replacement from {p: 9, t: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z = 120 + 797. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 111014, 222241, 333450, 444641, 555814, 666969, 778106?\nAnswer: 889225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 12275*a - 159578. Determine k(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -3*u + 8, 10*u = -5*n + 5*u + 30. Let q(g) = 46*g + 1. Let r be q(n). Let k = r + -43. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 8:44 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5709 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5315 and 82914?\nAnswer: 414570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3316200 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11866598657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:04 AM and 4:34 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -23 + 22 - 20 + 16*l wrt l?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:46 AM and 6:35 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 - (8 + 17 + (-1918)\/70). Suppose -h*o + 1\/5*o**2 + 0 = 0. What is o?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -3 - 2*t - 8 + t + 0*t. Let v be y(-12). Solve v = p + 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1247460 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**2 + 11*y + 24. Let j be w(-8). Suppose -4*f + 2*i + j*i = -30, 5 = -2*f - 3*i. Solve -d - 2*d + 4*l + 14 = 0, -2*d - 29 = f*l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -3*b + 5. Let w(k) be the first derivative of k**2\/2 - k - 5. Let h(a) = c(a) + 5*w(a). Let s(z) = 23*z**2. Give h(s(l)).\nAnswer: 46*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**2 - 8001990*v + 3201592198005.\nAnswer: 5*(v - 800199)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 245565 is divided by 20422.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(50)\/sqrt(10) - (3*sqrt(405))**2.\nAnswer: -3642 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -2*i**4\/5 + 92*i**3\/5 + 127518*i**2\/5 + 127232*i\/5 - 50968 = 0?\nAnswer: -230, -2, 1, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7*(-15)\/(-2)*120\/420?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 7\/6 of a week?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16)\/66*((-552)\/16)\/23.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 112 = -6*c + 2*c, 0 = -3*k + c + 57. Suppose 0 = -5*q + 115 + 165. Calculate the remainder when q is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -1. Let b(q) = 52 + 10 + 6*q + 47 + 2*q - 21. Give 4*b(g) + 352*o(g).\nAnswer: 32*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/18)\/(1\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2017 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -21, 1174\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the second derivative of -l**8\/3360 + l**7\/630 - l**6\/360 + l**4\/4 + l. Let j(p) be the third derivative of b(p). Factor j(k).\nAnswer: -2*k*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (27 - (-23 + -6 - -161)) + 27.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 - 4) + (-20)\/(-5). Differentiate -3*r - n*r + 7 - 5*r - 4*r with respect to r.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11259\/8 - -1407. Which is the smallest value?  (a) n  (b) 6  (c) -0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from {t: 3, f: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -609.1 + 608.6. Sort -5, 0, 37, m in decreasing order.\nAnswer: 37, 0, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -30 + 14. Let b = 18 + m. Let w(z) = 4*z**2 - z**b + 19*z - 19*z. Let d(r) = -5*r**2. Calculate w(d(u)).\nAnswer: 75*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*q**3 + 123 - 111 - 15*q**3 wrt q?\nAnswer: -39*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -71 + 71.2. Which is the third smallest value?  (a) k  (b) -1\/25  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -116*0.2\nAnswer: -23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u + 6 - 18. What are the prime factors of 2 - ((-886)\/u - (-7)\/(-42))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10458\/4648)\/(2 - 23\/12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 18\/5 of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -12 + 4 - (0 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -32 + 48 + -2 + -5 + -2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*u - 78 = -48*u. Which is smaller: 36\/19 or u?\nAnswer: 36\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (31 + 27 - 44)*(t**2 - 2*t**2 + 0*t**2) to p + j*t + v*t**2 and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 7*f + 5. Let t be 16 - (-2 + (-3)\/3). Suppose t*v - 18*v - 5 = 0. Let o(c) = -10*c - 7. Determine v*o(p) + 7*k(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -308, 8, -1.7, -0.4.\nAnswer: -308, -2, -1.7, -0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 5 - 1. Suppose 2*d = -p*d + 8. Is d smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g - 40 - 80. Suppose -4*p + g + 6 = -4*w, -p = -3*w - 19. Solve p*u + 0*u = 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 582467 from 3.\nAnswer: -582464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -178080 rounded to the nearest 1000?\nAnswer: -178000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 7) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(1008) + -1)**2 - (sqrt(42)\/(sqrt(726)*2))**2.\nAnswer: -48*sqrt(7) + 489801\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -17  (b) 0.3  (c) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-9*i**2 + 13*i**2 - 10*i**2)*(1 - 3 + 0)*(2 - i - 2) in the form l + m*i**2 + p*i + h*i**3 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15a4a3 (base 12) to base 3.\nAnswer: 200211012220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 5*w + 24 = x, -2*w = -3*x + 62. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(204)*-1 - sqrt(204))\/((-1*sqrt(108))\/sqrt(9)))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2 - 8750035*f + 8750036.\nAnswer: -(f - 1)*(f + 8750036)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 7, 345*x + 3*y = 344*x + 26. Let u(o) = -4*o**3 - o**2 + 6*o. Let m(z) = 7*z**3 + 3*z**2 - 11*z. Give x*u(q) + 3*m(q).\nAnswer: q**3 + 4*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12 + 10*g**3 - 2 + 2 wrt g.\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8744066?\nAnswer: 2, 19, 230107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8.31 - 8.11. Let d = 0 - -0.1. Sort a, d, 3\/2 in decreasing order.\nAnswer: 3\/2, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 4*a + 628 = 0, -5*h = -77*a + 72*a - 1565. Find the third derivative of -40*b**5 + 312 - 181*b**2 - h + 296*b**5 wrt b.\nAnswer: 15360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11)\/132*-54*(-2)\/6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 424 + -9. List the prime factors of j.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3957677 to the power of 1\/2, to the nearest integer?\nAnswer: 1989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*o**2 + 6*o**2 + 4*o**2 + 2*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 - (-3)\/6)\/((-1)\/(-10)). Let s(f) = f**2 + 13*f - 19. Let v be s(y). Suppose v*u = 12*u - 2. Calculate the highest common divisor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**3 + 5*f**2 + 2*f - 5. Is b(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b. Let n(x) = 257*x**2. Calculate n(f(m)).\nAnswer: 257*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 7*w = -12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -477, -472, -463, -450, -433, -412?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.5 * 4427.\nAnswer: -6640.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1582636030 rounded to the nearest one hundred thousand?\nAnswer: -1582600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-360)\/35)\/6*406\/290?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.9 + 3. Let g(v) = v**2 + 5*v - 6. Let q be g(-6). Let m be (3 - 1) + q + -2. Which is the nearest to i?  (a) 2\/3  (b) m  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) -5\/17  (c) -3  (d) -2  (e) 1\/2  (f) 0.069  (g) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c + 3, 5*g - 8*c + 3*c = 0. Let l be ((-8)\/g)\/(6\/124425). Round l to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 13  (b) -4  (c) -5  (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 278 (base 16) in base 11?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2\/13*208\/(-32)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -354 + -382. Let i = -16931\/23 - t. Which is bigger: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-115)\/69)\/((-2)\/6). Suppose 564980 = 5*p - y*x, 3*p - 339008 = -x - x. Round p to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 217143399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 37.02 - 34. What is h rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * 0.0398.\nAnswer: -0.1194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:31 AM and 4:58 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -34.\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -19*o*s**2 + 4*o*s + 109626746*o + 826*s**2 - 24*s wrt s.\nAnswer: -38*o*s + 4*o + 1652*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y**4\/3 + 4992*y**3 - 9966804*y**2 + 2327944320*y - 144978888150 = 0 for y.\nAnswer: 129, 3615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jxchcxxbcjx. Give prob of picking 1 c, 1 x, and 2 j.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - 122?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m - 1. Let j(x) = 6*x + 2. Determine -2*j(q) + 14*o(q).\nAnswer: 2*q - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/265200 and -23\/1800?\nAnswer: 795600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -10538.7 to the nearest one hundred.\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-42)\/(-1925)*45\/(-27)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94*g + 12 = -91*g. Let x be (-3)\/(-4) - (5 - 4577\/g). What is the highest common factor of 60 and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -137*h + 136*h - 272*h - 1092 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (10\/16)\/((-117)\/(-468))*2*-1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -52 divided by 52.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -z - 24. What is the common denominator of (z\/21 - 25\/112) + -4 and -97\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -37040, -37045, -37052, -37061, -37072, -37085?\n\"Answer: -q**2 - 2*q - 37037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 6*a**2. Let i(r) = 5054 + 29*r - 5054. What is b(i(v))?\nAnswer: 5046*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 3*s + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/6*(-33)\/176.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -68\/55 and 7\/55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (50*(-17)\/612)\/(21\/((-2520)\/100))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/792458537 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) 2\/9  (b) -241  (c) -2  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m - 20 + 4 = 0. Let x = -453 + 456. Solve m*k - x + 7 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 0*w - 18 = 4*w, -w = 3*u - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4008?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1252 + 7)*(-21)\/14*(-6)\/(-9). What is the greatest common divisor of 135 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 67 = 4*f, 0 = -0*f + 3*f + 3. Let s = -61 + v. Solve -u = 3*d + 7, 4*d = -0*d - 5*u - s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 418148 is divided by 138376?\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 6*o**3 - 7*o**2 + 1 - 7*o**3 - 6*o**2. What is d(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1016867 times -0.1?\nAnswer: -101686.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -9\/122?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 170 and 620.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - 6 = 6. Let p(o) = 2*o - 1. Suppose -2*c + 0*i = 3*i + 2, -3*c - 2*i + 2 = 0. Let v be p(c). Solve -k*d - 3*h = -23, -3*d = v*h - 26 - 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-16)\/(-6)*(-165)\/44. Let f = h - -12. Solve f*w - p = 11, 3*w + 0*p - 5*p = 27 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the third derivative of f**5\/90 + f**4\/9 - 5*f**3\/9 - 19*f**2. Determine p so that y(p) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -124*a - 237*a - 2165 = 72*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - -7. Suppose 2*h + h = b. Suppose -2*o + h + 3 = 0. Solve -o*w + 23 = -3*a, w - 29 = a + 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 200868803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 689 * 0.11\nAnswer: 75.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 1 = -2. Let o = 67\/21 - 20\/7. Factor -o*c**2 + 0 - 1\/3*c**4 + 0*c + 2\/3*c**u.\nAnswer: -c**2*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/(4 - (-196779)\/(-49212)). Let c = n + 188170238\/263833. Let r = c + 309757\/229420. Find the common denominator of r and -109\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(-14)*(15\/6 - 6). What is the closest to 2 in -4, -2\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11, 4, -25, -88, -197, -364, -601?\nAnswer: -920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 - 7. Suppose 146 = 2*w + 4*y, -w - g*w - 5*y = -340. What is the greatest common factor of 42 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**2 - 10*i - 26. Let q be v(12). Is 28 a factor of 6 + -5 + (-334)\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -6*(-1 + 1 + sqrt(343) - sqrt(343)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -18*s**5 + 15123*s**4 - 267552*s**3 + 961935*s**2 = 0.\nAnswer: 0, 5, 13, 4933\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a century in years?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1, -1501 in increasing order.\nAnswer: -1501, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 228649 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-46)\/138)\/((-20)\/12)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 327*q + 353*q + 693*q + 711*q - 1085*q**3 - 500*q wrt q.\nAnswer: -6510*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 555*r + 3023*r + 255*r**3 - 83*r**3.\nAnswer: 172*r**3 + 3578*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**2 - 8*v + 55. Calculate o(11).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1548, 6274, 14186, 25290, 39592, 57098, 77814?\n\"Answer: k**3 + 1587*k**2 - 42*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3166.003766 + -3166. What is a rounded to 4 dps?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9672 + 9674. Solve 2*c - 4*p - 4 = 0, -k*c - 5*p = -c - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -714662*b = -714999*b + 12469 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 18 and 36?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes after 12:32 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 3 = 0, 0 = -5*k - t - 3*t + 253. What is the remainder when 631 is divided by k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10751?\nAnswer: 13, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55 - -64 - 1635\/187 and 115\/238.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 0 - 1)*(115 - 115 - 2*z)*(3*z**2 + 0*z**2 - 4*z**2) to the form p*z + v*z**2 + q + g*z**3 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1)\/g)**18\/(g**0*g**(-1\/9)))\/((g\/(g**1*g*g))**34*(g\/(g*g**(-1\/11))*g)\/g*(((g*g**(3\/5)*g)\/g)\/g)\/g) assuming g is positive.\nAnswer: g**(16048\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 82568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17 + 23. Let b be (-553)\/(-42) + (-1)\/c. What is the greatest common factor of 65 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -545b1 (base 15) to base 13.\nAnswer: -94c3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -i**3*l**2 + 584953549*i**3*l - 572000*i**2*l**2 - 136*i*l**2 wrt l.\nAnswer: -2*i**3 - 1144000*i**2 - 272*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**1*n)**(4\/13)*(n*((n\/(((n*n\/n**(-2))\/n)\/n))\/n)\/n)\/n*n*n**1 assuming n is positive.\nAnswer: n**(-5\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fqrrffrr. What is prob of sequence fq?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8 + 15. Let i be 4\/(-14) - (-184)\/56. Suppose -3*z - 4*y + 1 = 0, 0 = i*z - k*z + 2*y + 16. What is the smallest common multiple of 7 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -w**4 + 1 + 0*w**4 + 2*w**2 - 3*w**4 + 3*w**4 - 2*w + 2*w**3 as d*w**4 + t + a*w + k*w**2 + o*w**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 0. Let s = 48828 - 48735. Put -3, y, s, -0.1 in increasing order.\nAnswer: -3, y, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 761441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 821905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -6 + (376528\/28 - 18\/42) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -5*11*6\/1820*4. Let v = 4\/7 + g. Which is the smallest value?  (a) 3\/4  (b) v  (c) 4\/7  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*h**2 + 23 - 23)*(2 + 1 - 5) + 5*h**2 + h**2 - 5*h**2 - 17*h**2 - 6 + 16*h**2 - 8 as f + w*h + q*h**2 and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 973 is divided by 206.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 132702373?\nAnswer: 132702373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 56, -8, 4643 in descending order.\nAnswer: 4643, 56, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*v - 29 = -58 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-33)\/(-2 + -9) + 50\/(-14)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrmz when four letters picked without replacement from zrrfmf.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1585*h + 53505 = 280*h for h.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + r = -13, 0*r - 9 = -3*r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, -15, -4.\nAnswer: -15, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4, y: 1, u: 1, r: 2, x: 1, k: 3}. Give prob of picking 1 k, 1 l, 1 r, and 1 u.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the first derivative of -8*n**7\/105 - 2*n**3 + 8*n**2 - 10. Let t(y) be the second derivative of x(y). Find the first derivative of t(i) wrt i.\nAnswer: -64*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, k: 7}. Give prob of picking 2 k.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 PM and 10:53 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 2*o**2 - 3*o - 1. Suppose -54 = 33*z - 219. Determine y(z).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 120 - 36. Let k be (-166)\/(-14) - (-12)\/84. What is the greatest common factor of b and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 8 - 14*a)*(-1 + 1 - 2) - 2*a + 2*a - a + 3 - 3 + a.\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -87  (b) -5  (c) -6  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q**5\/4 + 243205*q**4\/2 - 11831193525*q**3\/4 + 17743020790*q**2 - 14783884885*q - 35484825660 = 0. What is q?\nAnswer: -1, 3, 4, 48638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rtxbtrt. What is prob of picking 1 r and 1 t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 + 2*s**2 - 4*s - 1. Let r be n(-3). Suppose 2*d - 212 = -w - 2*w, 3*d = 3. Does 11 divide w\/6 - r\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 20\/29  (c) -1\/4  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 27 + 5. Suppose 5*k = -4*r + 40, -5*k + m = 4*r - 2*k. What is the smallest common multiple of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of 0*a + 2\/3*a**3 - 66 + 0*a**2. Let s(l) = -7*l. Let v(z) = -169*z. Let m(i) = -143*s(i) + 6*v(i). What is j(m(r))?\nAnswer: 338*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -1929900 to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 14) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -39 in -2\/17, 0.01, -85\/3, -0.5?\nAnswer: -85\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 238121 = -119*t + 116*t, j = -t + 59531. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/11648 and -29\/96?\nAnswer: 34944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does -383\/3801 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -3*s**2 + 9*s + 5. Let x(o) = 2*o**2 - 4*o - 3. Give 3*r(b) + 5*x(b).\nAnswer: b**2 + 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 78000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 38 - 35*q + 5*q + 14 + 3*q**2 - q**2.\nAnswer: 2*(q - 13)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 9}. Give prob of picking 2 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -x**3 + 6*x**2 - 12*x**2 + 6*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 81, 7, -5, 0 in increasing order.\nAnswer: -5, 0, 1, 7, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.0035 + -0.0035001867. Round m to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide 98805711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -960, -1930, -2900, -3870, -4840, -5810?\nAnswer: -6780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - -8 - (27 + 15 + -37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**2 - 7. Let l be x(-4). Suppose -4*y + n + 141 = 0, 5*y - y = 3*n + 135. What is the highest common divisor of y and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 71 (base 16) to base 11.\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 10\/4 + 1 + (-10)\/4. Let a be 2*q*(-3)\/3*-1. Sort -3, a, 3.\nAnswer: -3, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -92004, -91981, -91946, -91893, -91816?\n\"Answer: o**3 + 16*o - 92021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + s + 49 = 5*m, -4*s = -5*m + 115. What is the highest common divisor of 54 and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**2 + q - 5. Suppose -4*m = 3 + 9. Let l(j) = j**3 - j**2 - j + 1. Let k(y) = m*x(y) - 3*l(y). Differentiate k(t) wrt t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2149*a + 16962 + 61338 = -551*a for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -794 - 1212 = 52*t + 66*t for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 108 times -36319?\nAnswer: -3922452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 72.4553 weeks?\nAnswer: 43820965440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*t + 28 = -6*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes after 4:56 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*j = 70*j + 156*j - 1378120. Calculate the highest common factor of 40 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - 5\/(-5 + 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 130 + -163. Let m = 430 + -433. Sort 2\/5, m, p.\nAnswer: p, m, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/4 + (-140)\/8. Let y = j - -1. Let x be (10\/8)\/((-4)\/y). Solve 2*a = x*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 590 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2109 + 4012. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -2*s + 7. Suppose 0 = 4*f - 20 + 4, 2*l + 36 = 3*f. Let b = 18 + l. Calculate t(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + -8. Let x = p - -4. Let t be -1 + 8 - (0 - x). Put -1, t, 1 in ascending order.\nAnswer: -1, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(1\/2)\/r*r)**(-2\/7))**13*(r\/r**(-1))**(11\/2)\/((r\/(r*r*r*r\/(r*r*r**(-5\/3))*r))\/(r**(-2\/13)*r)) assuming r is positive.\nAnswer: r**(2714\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31446369 is divided by 1985?\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1159 and 305.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b + 1 = 379*a - 378*a, 6*a + 2*b = 20*a + 6*b + 26 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:51 PM and 9:38 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 6, b: 1, d: 11}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6\/643 + -43033\/5144. What is the common denominator of (-2)\/(60\/453) + (-2 - -6) and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 3, -7510, -5, 5, -4, 6.\nAnswer: -7510, -5, -4, 0, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4  (b) 1.1  (c) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3437988 a multiple of 1286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 89166080?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 189897.\nAnswer: 3, 63299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (5\/(-2))\/(621\/1242)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (38*p - 79*p - 34*p)*(3*p + p - 3*p) + 9*p**2 - 3*p**2 - 2*p**2 + 3*p**2 - 3*p**2 + p**2 to m*p + z*p**2 + o and give z.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 2 = -2*p, -5*p + 13 = -q + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3503 - -3519.045. Let p = x + -0.045. Let y = 14 - p. Which is greater: y or -16?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*r**2 - 300318*r - 900981.\nAnswer: 3*(r - 100109)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13233?\nAnswer: 3, 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 83*t - 5439. Determine x(65).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 AM and 4:32 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145*f - 27*f = 475 + 18789 for f.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyayyaeatyetpeayyp. Give prob of picking 1 p, 2 t, and 1 y.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 5 = -3*y. Let f(h) = 2*h**2 + 6*h - 5. Let t be f(y). Suppose 2*q - 15 = -q. Solve z - 2 + t = -5*o, 5*o - q = 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1114609.\nAnswer: 257, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 208 = 3*y + 2*i, y + 4*y - 351 = i. Let d be 6\/27 - (-2 + y\/(-9)). Calculate the remainder when 20 is divided by 106\/d + 18\/(-30) + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -50, -1, 5\/3, -5893 in ascending order.\nAnswer: -5893, -50, -1, 5\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -38*d**3 - 2*d**2 + 2. Let h(b) = -b + 11. Let n be h(9). Let a be l(n). What is a rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-88))\/(1\/(-2)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ern when three letters picked without replacement from {r: 1, p: 1, n: 2, e: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/(3\/1 + 28\/(-7)). Calculate the highest common divisor of 12 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3257?\nAnswer: 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6 - 33 + 1 - 9 - 10*z - z**3 wrt z.\nAnswer: -3*z**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - -43464?\nAnswer: 43466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 + 13. Suppose 0 = -0*x + 2*x + v. Let a be (-1*12\/2)\/x. Solve 2*u + a - 1 = f, 2*f = -u - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -65 - -68. Solve o + 7 = -q, q + 29 = -f*o - 4*q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59858460 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**5\/4 + 6*p**4 + 173*p**3\/4 + 99*p**2\/2 - 324*p.\nAnswer: p*(p - 2)*(p + 8)*(p + 9)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-7)\/7 + (-56946)\/(-21). Let u = 2700 - i. Is u at most as big as -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u**5\/2 - 81*u**4\/2 + 1123*u**3\/2 + 21537*u**2\/2 + 19688*u + 9522 = 0. Calculate u.\nAnswer: -9, -1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -453 - 4435?\nAnswer: -4888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 4*z = 28, 3*s + 2*z + 24 = -2*z. Let y = -17 - -7. Let g = y - -13. Sort g, 0.5, s in descending order.\nAnswer: g, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 490*q**4 + 209 with respect to q.\nAnswer: 1960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sc when two letters picked without replacement from {m: 1, z: 1, s: 1, c: 1, a: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18 + 20. Let o(w) be the first derivative of -7\/2*w**2 - n + 0*w. Give o(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the second derivative of w**5\/20 - w**4\/4 + 2*w**3\/3 + 3*w**2\/2 - 7*w. List the prime factors of y(4).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-33)\/((-1320)\/448) - 13?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 - -18. Let q be ((-6)\/5)\/(20\/(-150)). Suppose 0 = q*x - v*x - 166. What is the remainder when x is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q - 5. Let w be k(-5). Suppose w = v - 5 - 31. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 3*v**3 + 45*v**2 - 4*v - 15. Let a be h(-15). Solve 14*s + 11 + a = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**3 + 27*v + 55. What is q(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 39307872 to the power of 1\/3, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2083004 and 924?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 1 - 59586*f - 2*f**2 + 59650*f to the form s*f**2 + p*f + x and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 - 26*h + 33. Let x be v(-26). Let g = 25 - x. Suppose 4*d + 2 = 5*u, 3*d + 0 + 7 = u. Is g > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 595, 1876, 3989, 6934?\nAnswer: 10711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -31603.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6 - 8*h**3 - 4 + 2 wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51166185?\nAnswer: 3, 5, 7, 419, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*z + 4 = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 2624 divide 330387097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 4*t - 74 = 0. Let r = -23 - t. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6308, -5470, -4068, -2096, 452, 3582?\nAnswer: 7300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 532 and 1900?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -84 + -ef?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*m + 157 = -59 - 32 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -10*z**3 + z**2 + 1. Is b(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -328*n**2 - 72*n**2 + 195*n**2. Let w(a) = 2*a**2. What is u(w(q))?\nAnswer: -820*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2799421361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (11\/3)\/((-4)\/(-12)). Let w = -4 + d. Suppose h = 5 + w. Calculate the greatest common factor of 84 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*a**2 + 0*a**2 + 6*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 3\/40 of a millisecond?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7426\/3 + -2476. Which is the third biggest value?  (a) 0.01  (b) 3  (c) -0.5  (d) l  (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m = -2*j - 6, 9 = -53*j + 50*j - m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 98 and 1599360?\nAnswer: 1599360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21 (base 3) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -844  (b) 1  (c) -1  (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 + 22120111021022222?\nAnswer: 22120111021100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*m + 296 = 4*f - 144, -2*f + 2*m - 11 + 51 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) 0.2  (c) 1\/10  (d) 23  (e) 33.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the first derivative of a**4\/4 + 5*a**3\/3 - 3*a**2 - 6*a + 1. Let w(r) = -r**2 + 3*r - 6. Let p be w(3). Calculate v(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 392067, 1568258, 3528577, 6273024, 9801599?\n\"Answer: 392064*t**2 - t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 10*x - 93. Calculate h(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2\/9, 15003, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15 (base 16) to base 5.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3500 is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 79 + -54. Let n = -121 - -194. Calculate the remainder when n is divided by q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11d (base 15) to base 7\nAnswer: -511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s. Let u(o) = -2083*o**2. What is u(c(d))?\nAnswer: -2083*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 30, 4, 5, 542, -1 in ascending order.\nAnswer: -1, 4, 5, 30, 542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1045 = -48*h + 53*h. Let v = h - 23. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.1, -3, -1661, 4\/9, 64\/5?\nAnswer: 64\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 5*k - 70 = -0*t, 0 = -4*t + 2*k + 236. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/7 in -33\/409, -169, -1\/5?\nAnswer: -33\/409","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 134270*a - 8727530. Give h(65).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 38  (b) -2  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115*z = -107*z - 1608. Suppose -544 = 5*k + z. What is k rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 28 - 37. Let f = 134 - 71. Let y = f + j. What is the remainder when y is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3143153 (base 6) to base 12.\nAnswer: 74ab9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(19) + 0)**2 + 0) - (-5*sqrt(76) - (4 + sqrt(19)*1 + sqrt(19))).\nAnswer: -15 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s**5\/5 - 19*s**4\/5 + 633*s**3\/5 - 241*s**2 + 592*s\/5 = 0. What is s?\nAnswer: -37, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.24 - -1.24. Which is the nearest to -2?  (a) 0.5  (b) -4  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 331 less than 7600\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = -5*p + 285. Suppose -3*o - 6 + p = 0. Suppose j + y = 5, 0 = 4*j - 5*y - o - 21. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54235.\nAnswer: 5, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*v - 76*v + 4*s + s = -33, 0 = 3*v - 35*s - 101 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, -123653, 4\/7, -2\/13 in descending order.\nAnswer: 4\/7, -2\/13, -2\/7, -123653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20075*g**3 + 130581*g - 130581*g.\nAnswer: 20075*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the first derivative of 0*u**3 + 0*u**4 + 2 - u - 2\/5*u**5 + 0*u**2. Find the first derivative of b(s) wrt s.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-4)*(14080\/(-22))\/(-20)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/((-1)\/(-1)) - 6. Let k(a) = 3*a**3 - 2*a**2 + 3*a - 1. Let n(v) = 29*v - 36*v - 3*v**3 - 4*v**3 + 5*v**2 + 3. Let l(t) = c*k(t) - 2*n(t). Give l(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11646*a - 5368*a - 6266*a - 3*a**3.\nAnswer: -3*a**3 + 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8358*t + 8291*t = 1005 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -24.4 times 0.2?\nAnswer: -4.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4505 = 79*w + 7033 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 5*c + 932, 4*m - 283 = 5*c + 968. What is the highest common divisor of m and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 8.743648um?\nAnswer: 8743.648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 277668 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-1143556)\/102)\/((-4)\/6 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98 + 7 = -2*o - 5*s, -3*s = 5*o - 199. Let j be 2\/8 - o\/(-8). What is the highest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -39 + 45. Let y = 22 - p. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*b + 3*b - 2*b + (6 - 2 + 0)*(-1 - 2 + 1)*(-29 + 325*b + 29).\nAnswer: -2601*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sg when two letters picked without replacement from gsgsg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -5230*q + 463. Is p(-26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 7*g**2 - 11*g. Let d(s) = -10418*s**2. Give o(d(t)).\nAnswer: 759743068*t**4 + 114598*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(3\/4))\/((-2219)\/42795*108)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -121801 divided by -19.\nAnswer: 121801\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (3 + (sqrt(68) - (sqrt(68) + sqrt(68) + 1 + sqrt(68)))*6)*4.\nAnswer: -96*sqrt(17) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 6 = -10. Suppose 0 = -3*t + 9, 1 + 6 = -2*x + 5*t. Suppose x*i + 4*w - 28 = 0, i - 3*w + 8 = 19. What is the greatest common divisor of i and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2763 and 2889.\nAnswer: 886923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16 - 28) + (10 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 1 = q - 9, -28 = -5*q - 4*v. What is the smallest common multiple of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -84969 - -84970. Let l = -1 + -1. What is the closest to 1\/5 in 2, l, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 36 and 271242.\nAnswer: 542484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - -5) + (137 + -128 - (0 - -12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 668100 and 393.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the third derivative of -5*x**5\/12 - 35*x**4\/4 - 40*x**3\/3 - 192*x**2. Factor z(c).\nAnswer: -5*(c + 8)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**2 - 8*g + 7. Let m be z(-8). Suppose 3*d - 274 = -19*d + 12. What is the nearest to d in m, 1\/5, 5, -2\/17?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + c = -145, -150 = -7*q + 2*q + 2*c. Let g = 30 - q. Solve -b + g = -0*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**3 + 9*s**2 - 10*s. Let y be h(7). Let p = -2 + y. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 154888.\nAnswer: 2, 19, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**4\/2 + m**3 + 7*m**2\/2 - 10*m + 6.\nAnswer: -(m - 2)**2*(m - 1)*(m + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 8:22 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 660*k + 396 = -1626*k - 298*k + 62412 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -32345 (base 7) in base 14?\nAnswer: -2d25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 10407, 10408, 10409, 10410, 10411, 10412?\n\"Answer: s + 10406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 1 = -5*x, -3*v = v - x + 17. Let q(o) = -o**2 - 5*o + 1. Let m be q(v). Suppose m*s - 57 = -17. Solve 3 - s = -l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - 14. Let d = j + 9. Solve 0 = 2*o + 2*u - 6, -3*o - u + d = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00067 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -53, -112, -171, -230, -289?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**3 + 33*a**2 - 78*a + 79. Let z be l(-35). Let r = z + -15. Calculate the least common multiple of r and 22.\nAnswer: 3784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -18*a**2 + 5*a. Let y(z) = 2*z**2. What is j(y(b))?\nAnswer: -72*b**4 + 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 + 12*n**2 - 25 + 13.\nAnswer: 12*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/504 and (1 - 3)*(-1)\/(-4) - (-19053)\/(-32886).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(272) + sqrt(272) + -4 + -1 + sqrt(272)) + 4)**2.\nAnswer: -4896*sqrt(17) + 89284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3825\/14 - -274. Which is smaller: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 + 14*j + 184. Let h be w(22). Suppose 2*i + 16 = 6*i. Let n be (-8)\/6*(i - 34). What is the greatest common divisor of h and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -23938.\nAnswer: 5\/23938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 101663 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2*-1*(-8 + 9). Which is the closest to -0.2?  (a) 4  (b) 35  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -5*a**3 - 2*a**2 + 24*a + 15. Let l(r) = r**3 - r**2 + r - 1. Let k(v) = -f(v) - 6*l(v). Is k(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -6*r + 50. Calculate the remainder when p(-6) is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 + 0 + (-31)\/14. Let d be ((-6)\/(-8) - 1) + (-2)\/(-8). Is m >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 13719 = -5*t, -3*t - 4274 = -2*w - 12507. What are the prime factors of t?\nAnswer: 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 4*a**4 - 120*a**3 - 138980*a**2 + 120*a + 138976 = 0.\nAnswer: -172, -1, 1, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 10129265681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 38.28 - 0.28. Let f = -38.0042 + r. What is f rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 + 6. Suppose 2*w = -l*h + 2848, 3*w + 2*w = 20. Suppose 2*c + h = v, 4*c - 7030 = -3*v - 2*v. Round v to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43800 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 3073, 7, -3\/5.\nAnswer: -3\/5, 3, 7, 3073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*u + 2*u. Suppose 3*q = -5*k + 191, 0 = u*k + 7*q - 2*q - 84. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*w - 9*w + 4*w + 7*w - 41*w**2 + 40*w**2 + 3*w**4 as g*w**4 + o*w + l + f*w**2 + p*w**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-41)\/(-82) + (-2 - (-14)\/8). Let m be -2*14\/(-8)*2. Let i = -12 + m. Which is the nearest to 0.1?  (a) 5  (b) i  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 70\/84*6*(-2)\/(8\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from unk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -8*g**3 - 2*g**2 - 3. Let m be r(-2). Let k = 60 - m. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 + 9*x - 14. Let h be r(-11). Let k = 8 - h. Let z be -1 - (2 - 0 - 5). Solve k = -4*y + v + z*v + 7, -4*y = 2*v + 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 - -106154?\nAnswer: 106151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (7 - (-11 - -3)) + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -33 + 2320?\nAnswer: 2243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 14 + 8 + -1 + -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*h + 2*h - 3*h)*(-571*h - 599*h + 1221*h) to t*h**2 + d + b*h and give t.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140*k = 129*k + 11. Let i = 42 - 40. Is k at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 223, 288, 353, 418, 483, 548?\n\"Answer: 65*g + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + -9673?\nAnswer: -9680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 + -1 - (5 + -11 + 20)) + 12 + 46.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -220\/3 + 155\/2. Let w = -20527 + 369583\/18. Find the common denominator of w and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (f**3 - 3*f**3 + 3*f**3)*(-1 + 1 + f)*(-1 + 1 + 2)*(1 + 1 - 5) as l + c*f**3 + i*f**4 + r*f**2 + k*f and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 + 8)*1\/11 - (-154)\/110.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 7598727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*j - 665 = -1505 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + (5 - 7 - -13) + -12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 81 is divided by (0 - 3) + 12 + 2 - -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.15?  (a) -4  (b) -45  (c) -1\/3  (d) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**3 - 6*c**2 - 13*c - 22. Give j(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-6)*((-33)\/(-15) - 2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.05 + -0.06. Let t = -0.21 - x. Which is the biggest value?  (a) t  (b) 0.4  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u - 6, 0 = 3*w - u - 2*u + 30. Let b(n) = n**2 + 8*n + 4. Let m be b(w). Factor 15*r**m - 6*r**2 + 11\/2*r**3 + 0 - 25\/2*r**5 - 2*r.\nAnswer: -r*(r - 1)**2*(5*r + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.5 - -2.6. Let w = -4 + 5. Let b = o - w. What is the nearest to -3 in -0.1, b, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 341114 (base 5) to base 11\nAnswer: 9050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**2 - 38*t - 1673. What is the remainder when h(-36) is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*x**5 - 3*x**5 - 2*x**5 - 4*x**5 + 12*x**5 + 6*x**5 + (-1 + 1 - x**2)*(2*x**3 - x**3 - 3*x**3).\nAnswer: 14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1256826607 to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-18)\/4*(-16)\/(-6). Let m = z - -14. Solve 0 = 2*p + 2*x + m, -3*p + p + 2*x = 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q + 10. Let w = -96 + 106. Calculate l(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(-8)*o)\/o)\/((o\/(o*o**(1\/22)))\/o) assuming o is positive.\nAnswer: o**(-131\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -21518 - -21514. Which is the closest to -0.2?  (a) 10  (b) r  (c) 3\/2  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104*q = 86*q + 36 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**2 - f + 4. Suppose 0 = 20*y - 15*y. What is the remainder when 27 is divided by g(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -31625*v - 62245. Determine l(-2).\nAnswer: 1005","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*j + 3, 5*l + j = 26. What is the remainder when 57 is divided by (5 - (-8)\/(-4))*l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83969038015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 85445607 and 801?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -157*f - 160*f - 152*f + 14 + 637*f - 154*f.\nAnswer: 14*f + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - u = 165. Let g(q) = q**2 - 4*q + 4. Let t(k) = 9*k**2 - 33*k + 33. What is u*g(d) + 4*t(d)?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 398881044 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 274233 - -7\nAnswer: 274240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**3 + 48*m**2 + 16*m - 148. Is s(48) a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = p + 10, -p - 3*p = 5*u - 23. Suppose 36 = 4*f + 2*z + u*z, 4*f - 4*z = 0. Suppose -4*x - f*q = x - 2, 2*x + 2 = -3*q. Solve 0*a - 6 = x*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 155 is divided by 36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 7*f = -50. Suppose 0 = 4*g + f - 66. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -6*c - 7. Let j(k) = -5*k - 6. What is -5*j(p) + 4*x(p)?\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, p: 1, a: 2, n: 1}. Give prob of sequence pamn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 724286 is divided by 100.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(1\/3)\/r)\/(r\/r**(2\/17)))**(-5) assuming r is positive.\nAnswer: r**(395\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k = -2*k - 10, 0 = 2*f - k - 230. What is the greatest common divisor of f and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 2 = -0. Suppose -3*f - 1 = -a*f. Which is smaller: 2\/9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes after 9:46 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.275 - -18475708148.\nAnswer: 18475708145.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -866 + 911 + (2 - -3) + 4?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -8*l**2. Let p(h) = 4*h + 0*h - 3*h. Calculate p(j(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -f + 123670, -7*f + 2*f + c + 618308 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.4 + 0.6. Let v = -92 - -95. Let d = k - v. What is the nearest to 1\/3 in d, 5, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 5 = -x. Let n = 0.93981 - 0.83981. What is the closest to x in 7\/3, 2\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/(-12)*(-1 + 15\/7). Factor x*w + 2\/7*w**2 + 0.\nAnswer: 2*w*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 507 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1362 or -17696\/13?\nAnswer: -1362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/5258 and 54\/1903.\nAnswer: 909634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -2101 (base 3) in base 15?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 + 12*x + 8. Suppose -5*t - 36 = 34. Let u be l(t). Suppose -2*b + u = 2*d - 3*b, -4*d - b = -78. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 154, 315, 476, 637, 798, 959?\n\"Answer: 161*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f**5\/5 - 2*f**4 - 12*f**3\/5 = 0 for f.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b**4\/19 + 686*b**3\/19 + 77970*b**2\/19 + 2883050*b\/19 - 6083500\/19 = 0. What is b?\nAnswer: -115, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 40*v + 1. Let m be (9\/6)\/(2\/4). Suppose 0 = -0*y - m*y + 6. Let b be k(y). Calculate the highest common divisor of 27 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.552 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*o + 13*o + 22*o)*(-3 + 21 + 0) - 3*o + 0*o + o to a + k*o and give k.\nAnswer: 718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the second derivative of t**5\/20 + t**4\/6 - t**3\/3 - t**2 + t. Is i(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**2 + 21*u + 71. Let q(v) = -v**3 - 24*v**2 - 127*v - 9. Let j be q(-8). What is f(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 1 = 5*g - 22, -5*c = 2*g - 27. Let h = -2 - g. Let o = h - -11. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 - -9. Suppose -2*c = -4, -i - 4*c + 28 = -0*i. Suppose t*h - i + 0 = 0. Sort -1, h, -3 in decreasing order.\nAnswer: h, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 127891845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 2*n - 18 + n**2 - 3*n - 4*n. Suppose -2*q + 21 = -5*z, 11*q - 6*q - 37 = -3*z. Let t be k(q). Solve 2*a = t*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 32434, 32375, 32314, 32251, 32186, 32119?\n\"Answer: -l**2 - 56*l + 32491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 107*n - 82*n - 651 = -92*n - 3108 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/20 of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -13730733?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 46*u**2 + 71*u**3 - 119*u**2 + 28*u**2 + 43*u**2 as g*u**3 + p*u + d*u**2 + i and give g.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -163, -159, -143, -109, -51, 37, 161, 327?\nAnswer: 541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + k - 22 = 0, -75*c = -77*c + 4*k + 22 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -4*g**3 + 176*g**2 - 756*g - 29160 = 0.\nAnswer: -10, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 0*n + n**2 + 0*n. Let o be c(-2). Suppose -7*q + 3*q = -20. Solve -q*d = 16 + o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-8))\/((-6)\/(-36)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-30)\/(-36))\/((-85)\/30 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25 + 25 - 12*g)*(34 + g + 0*g + 0*g).\nAnswer: -12*g**2 - 408*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1 + (2\/4)\/(1\/106)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -152 - -19641150.\nAnswer: 19640998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*u + 1953 = 57*u. Let x = u + 275. Let z(p) = -2*p - 2. What is z(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 less than 147223?\nAnswer: 147222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 678 - 383. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 - -3) + (-1 - 2). Suppose 3*c - 60 = -2*c. Solve 4*m = -4*h + c, -19 = d*m - 7*h + 3*h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 500484412*z**3 + 7191403*z**2 - z + 2 wrt z?\nAnswer: 3002906472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 526925 and 75275?\nAnswer: 526925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/16 and 79\/88107952?\nAnswer: 88107952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**2 - 3*v + 13. Suppose -2*m + 2*d = m + 11, -m = 3*d + 11. Let i be j(m). Let c(x) = -x**2 + x - 1. Calculate c(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 40 = -5*k, -2*k - k = 4*v + 32. Let r(o) = 1. Let c(f) = 6*f + 3. Let w(x) = -c(x) + r(x). Is w(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 131687339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(1 + sqrt(1573)*-2)**2 + sqrt(1300)*-1 + -5 + sqrt(1300) + sqrt(1300)*-2 + 0.\nAnswer: -12591 + 68*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = -4*b - 4*q + 5*q, 5*q - 15 = 0. Let p(v) = -6*v - 26. Suppose -4*a - 20 = -124. What is the remainder when a is divided by p(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -12*m**5 - 10236*m**4 - 200967*m**3 - 870918*m**2 + 1026765*m - 269892 = 0.\nAnswer: -833, -12, -9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uvo when three letters picked without replacement from {u: 3, o: 1, v: 3, h: 3}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + p = 4, 0 = 2*b + 3*b + 5*p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 63626932 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, 0.03, -58, -3, -4 in descending order.\nAnswer: 0.03, -1\/2, -3, -4, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 8 = -2*n, -5*u + 7 = 4*n. What is the third derivative of g**u - 3*g**2 - 4*g**3 + 2*g**3 + 3*g**3 wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 205*k - 1647. Determine o(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -148.04 - -147.94. Let x = -26 + 209\/8. What is the nearest to 1 in x, w, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -5*l - 8. Let o be 3 - 3\/(3\/l). Let r(n) = -n**2 + 4*n + 7. Calculate r(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ianiwwnanniiiiwmiw. Give prob of sequence wwm.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 67824 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 3*w**3 - 108*w**2 + 106*w - 32. Determine q(35).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 + 0\/3 + 2. Let l(r) = 2*r**2 + 2*r**2 + r**s. Let t(f) = 11*f**2. Determine -13*l(u) + 6*t(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -9*x**2 - 89*x + 4. Let z(d) = -10*d**2 - 90*d + 3. Let j(v) = 5*i(v) - 4*z(v). Is 14 a factor of j(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*-2.1\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of 8*g - 5\/12*g**4 + 0 - 2*g**2 - 5\/6*g**3 + 1\/20*g**5. List the prime factors of f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -500*k**2 + 500*k**2 + 219184*k**3 - 219186*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/(-3*-3*2\/18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 635296 is divided by 771?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**2 + 2*i + 2. Calculate c(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 343\/119 - -1 - (-2)\/17. Solve -2 = -2*z - f + b*f, 4*z - 4*f = -4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 170537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -2*p - 1. Let v be g(-1). Let c be 3\/(-4)*12\/3. What is the units digit of (-7 - c)\/(v\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -2*q**3 + 3*q**2 - q + 1. Let s(o) = -5304*o**3 - 6565*o**2 - 10*o + 10. Let n(h) = -10*p(h) + s(h). What is the third derivative of n(f) wrt f?\nAnswer: -31704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (5\/(-3))\/(-145 + 147). Let k = 959\/66 + -41\/22. Let w = k + -12. Which is the closest to 2?  (a) q  (b) w  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/3 + 545\/(-1308).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 3 * -21.75\nAnswer: -65.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:51 AM and 4:57 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do 479061 and 958119\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 5. Let w(q) = 3. Let r(z) = 2*i(z) - 3*w(z). Let o(c) = 2*c + 5. What is o(h) - 4*r(h)?\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3\/8  (b) -51  (c) 0.2  (d) 3  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*y - 84 = -14*y. Solve -4*t - 2*d - 4 = 0, -10 = t - 5*d + y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + 188 + -184 + (-1 - -24)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 238392 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 7*x + 3. Let p(z) = 1 + 3*z - 2*z + 0*z. Let t(m) = -22*m + 379. Let l be t(17). What is l*p(c) - a(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 6, d: 13}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 l when two letters picked without replacement from nnnnlnnnnnnnnnnnnnnn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7384943 (base 10) to base 13.\nAnswer: -16b74b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 - u**2 + 4*u - 2. Let n be m(2). Let i be (3 + n\/(-3))\/(28\/24). Which is the closest to i?  (a) -6\/5  (b) -0.2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -c + 227, d + 3*c - 177 = -2*d. Calculate the remainder when 160 is divided by d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19908 is divided by 913?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 133 a factor of 136458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -2*g**3 - 2*g**2 - g + 1. Let f be r(-3). Let n = 66 - f. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 AM and 10:17 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.18 + 26.82. Let i = -16 + s. Let a = -11.00000026 + i. What is a rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 312912 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -283596 + 1988853\/7. Let i = -58385\/112 + h. What is the common denominator of 31\/6 and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 2, q: 1, c: 2, e: 1, h: 1, w: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 2*v = 32. Let d = v - 5. Which is smaller: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 3*a**2 - a + 4. Let w(r) = -9*r**2 + 3*r - 11. Calculate 11*f(p) + 4*w(p).\nAnswer: -3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1259*k + 1030*k - 1209*k - 2254*k + 289*k to u*k + n and give u.\nAnswer: -3403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3609 = 52*i - 2881 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -158\/7 not equal to -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 64100169?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48 + 1512*v + 50 - 98.\nAnswer: 1512*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0, -2, 28, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -3762.\nAnswer: -2\/1881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -4093, -8212, -12331, -16450?\n\"Answer: -4119*j + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.0815 * -2.3\nAnswer: -0.18745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 42*f - 24. Let u(p) = -78*p + 46. Let q(k) = -9*t(k) - 5*u(k). What is q(3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -223*l + 5581. What is m(25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.07133648 to four dps.\nAnswer: -0.0713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 355 - 356.21. Let w = 309 + -311. Which is greater: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1044 (base 5) to base 13\nAnswer: -b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 4 + 2 - 4. Let w(j) = 2*j - 192. Let l(y) = -3*g(y) + w(y). Let z(x) = x**2. Determine z(l(o)).\nAnswer: 4*o**2 - 792*o + 39204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2126.17 - -2124. What is the second smallest value in 3, y, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -217, -317, -417, -517?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 4*h**3\/9 + 22*h**2\/9 - 8*h - 10 = 0.\nAnswer: -15\/2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 272 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -304 = 38*q - 42*q. Is 19\/q - 7982\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 + 10. Let m = z + -2. Suppose -4*r + 6 + 4 = m*o, 2*r = 0. Solve -9 = -5*n - 3*x, -o*n + 0*x - 3 = -x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 8832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**3 + 3*w**2 + 2*w + 1. Let s(i) = 6*i**3 + 10*i**2 + 345*i + 3. Calculate 3*d(t) - s(t).\nAnswer: -3*t**3 - t**2 - 339*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 112*j - 9. Let q be d(3). Let n = q + 22. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b and 1 j when four letters picked without replacement from bbbjbjjbjbjbbbjjbjjj.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -766786, -1533565, -2300360, -3067177, -3834022, -4600901?\n\"Answer: -p**3 - 2*p**2 - 766766*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-2))**(2\/41))**(1\/52)*((z*z**(-2))**33)**(-3\/5) assuming z is positive.\nAnswer: z**(52762\/2665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 89 + -87. Factor -n - 12*n + 3*n - 2*n**2 + h*n.\nAnswer: -2*n*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 164, 1, 3 in descending order.\nAnswer: 164, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/(-7)*(112\/(-3))\/(-8). Solve 2*l + 5*w = -0*l + 15, -3*w = -v*l - 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 419737?\nAnswer: 421, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 408\/70*2\/(-4). Let l = 16\/5 + n. Let r = 99 + -399\/4. Which is the closest to l?  (a) 4  (b) -5  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6 and 1695498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -1 + 23 + -1 - 2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**2 - 5*t - 14. Let y be p(-6). Let l = y - -33. Let q(s) = -5*s**3 + 2*s + 5. Let r(f) = 11*f**3 - 4*f - 10. Give l*q(h) + 6*r(h).\nAnswer: h**3 + 2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -7  (b) -3  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40 - (12 + -12 + 9) - 9.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ylylll?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**3 + 5*o**2 - o - 1. What is z(-6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 4*j - 2*j + 13 - 9 - 4*j. Calculate the lowest common multiple of 18 and g(-6).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3097 + -3097. Which is the nearest to 54?  (a) -0.3  (b) 14  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 2 - 6*g**2 + 1 - 6*g - 18 + 4. Let j(u) = -2*u - 4 - 3*u**2 + u**2 + 0*u. Calculate 4*i(d) - 11*j(d).\nAnswer: -2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the third derivative of -s**5\/20 + 9*s**4\/4 + 20*s**3 + 272*s**2. Solve a(d) = 0.\nAnswer: -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 108 + 222*g + 1294*g - 249*g + 563*g + 441 wrt g.\nAnswer: 1830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j. Let h(w) = -9*w + 45. Let b(p) = -h(p) + 15*r(p). Is b(-15) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -28, 52 in descending order.\nAnswer: 52, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -42033302323 - 4?\nAnswer: -42033302332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6821221, 6821258, 6821295?\nAnswer: 6821332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 414634583 and 0.5.\nAnswer: 414634583.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 2*z + z + 3*z - 5*z - 9. Let p(q) = q - 9. Let n(m) = 4*p(m) - 3*y(m). Let v be n(9). Solve -3*k + 6*k + 3 = v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 2446.\nAnswer: 1\/2446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 31 and 372.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4137*j**3 + 12265*j**3 - 4136*j**3 - 3995*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1893696 and 42504.\nAnswer: 479105088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7*a*o*w**2 - 4*a*o + 14*a*w**2 - 22*a - 397441*o*w + 2*w**2 with respect to a.\nAnswer: -7*o*w**2 - 4*o + 14*w**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 24 = 4*x. Suppose -2*d + 36 = -2*s, -4*d + 4*s = 7*s - 93. Calculate the remainder when d is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -4*z, -31*z + 32*z + 24 = 2*i. Suppose 2*o - 5 = 3*m - 0, 5*o = 5*m + i. Let y(f) = f**2 - 6*f + 7. Let v be y(6). Solve -o = 8*g - v*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ovvvvvmvmmvomvovvvov. What is prob of picking 2 v and 1 m?\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3\/5, -1\/5, -0.1, 15.14, 4\/9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 89)*2232\/(-10044)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 5*t**3 + 300*t**2 - 122*t - 265. What is the hundreds digit of r(-60)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 2*m**2 - 2*m + 6. Let i be (-39)\/52*-2*2. Let f(c) = -2. Let v(y) = -1. Let p(w) = i*f(w) - 5*v(w). Give l(r) + 5*p(r).\nAnswer: 2*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s - 2. Let g be t(0). Let b be 1\/3 + (-66)\/(-18). Let x = -1 - b. Put 2, g, x in descending order.\nAnswer: 2, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6\/7157371 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 19185 (base 14) in base 4?\nAnswer: 33133001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**2. Let o(s) = 5*s**2. Give p(o(w)).\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9995 = -9*u + 373. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 390 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.491102ml in litres?\nAnswer: 0.006491102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(78)*2 - sqrt(78)) + (sqrt(78) + 3*sqrt(78) + sqrt(78) - sqrt(78))*-5)\/(5*(sqrt(600) + (sqrt(600)*-4 + sqrt(600) - sqrt(600)))*-5).\nAnswer: -13*sqrt(13)\/750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**(3\/2))\/a)\/(a\/a**(2\/7))*a\/a**(-6)*a**(3\/7)*a assuming a is positive.\nAnswer: a**(87\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -g**6 - 4*g**4 - 422*g**3 + 1713*g**2.\nAnswer: -120*g**3 - 96*g - 2532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17 + 20. Factor z - z**l + 3*z**3 - 7*z + 4.\nAnswer: 2*(z - 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {a: 2, l: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 56472368 and 2?\nAnswer: 56472368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 29 = 4*u, 38*u + 5*x = 39*u - 10. Let l(n) = -1 + 2*n + 8*n + n**2 + 2*n - 13*n. Calculate l(u).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - 1. Suppose 4*n - 3*w - 75 = 0, -3*w + 16 = 5*n - 71. Suppose 5*u + 0*f - 6 = 3*f, 2*f - n = -4*u. Solve p = u*k + 6 + 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 42?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8 (base 14) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -23*y**2 - 5*y. Let q(j) = -125*j. Calculate q(k(m)).\nAnswer: 2875*m**2 + 625*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 + 0 - 101*n**2.\nAnswer: -101*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5019068 - 5020150.2055. Let n = -1073.2 - z. Let i = n - 9. Round i to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyry when four letters picked without replacement from qvqqrryqyrvlqrqvryql.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10*i**3*j**3*r - 842*i**3*r + 2*i**2 + 4*j**4 - 6*j*r wrt j.\nAnswer: 30*i**3*j**2*r + 16*j**3 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3811.53 and -0.1566.\nAnswer: -596.885598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.45 in -22, 7477, -2\/9, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (215\/(-20) - -11)*(17 - 21)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13565?\nAnswer: 5, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -4140 greater than 4883?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 3*g + 144, -3*s + 120 + 24 = -g. Suppose s*z - 12 = 42*z. Solve 0 = -6*m + 5*m - z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 8*x + 3*x - 440 = 0, -436 = 3*o + 4*x. Which is smaller: -146 or o?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5942 - 1747. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(192)*-2 - (sqrt(36)\/(sqrt(12) + sqrt(12) + sqrt(768) - sqrt(12)) + sqrt(3))).\nAnswer: -154*sqrt(3)\/9 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 654150.\nAnswer: 2, 3, 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 80784 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 5*t - t, g - 12 = 3*t. Let f(a) = 7*a + g - 3 - 8*a. Let h(w) be the first derivative of w**2 - 1. What is f(h(n))?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d + 0*d + 3*d)*(-78 + 78 + 21*d)*(-3 + 1 + 1).\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 296, 4960, 12740, 23636, 37648, 54776, 75020?\n\"Answer: 1558*u**2 - 10*u - 1252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 47071*q**3 + 129*q**2 - 264*q?\nAnswer: 282426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -4, -1, 0, -46 in ascending order.\nAnswer: -46, -4, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**3 + 4*f**2 + 13*f - 8. Let o be l(6). Let q be -20*3\/(-48)*o\/(-8). Let n be -1 + 2\/1 + -2. Which is bigger: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 4*t - 20 = 0, 2*w - t = -2*w - 14. Suppose 4*o = 72 - 4. Calculate the remainder when o is divided by w*(-165)\/100 - (-3)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4409, 8840, 13293, 17780, 22313, 26904?\nAnswer: 31565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the first derivative of 37*s**5\/5 - 2*s**3\/3 + 35*s + 134. What is the third derivative of l(b) wrt b?\nAnswer: 888*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 460*v + 232. List the prime factors of f(12).\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, 3\/2, -4, -32, 64.8 in ascending order.\nAnswer: -32, -4, 1, 3\/2, 2, 64.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 277  (b) -0.3  (c) -1  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1186521 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -445326 divided by 42?\nAnswer: -10603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (-1 + 1) - -1 - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -103969557 and -2267?\nAnswer: 103967290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*j + 23*j = 128564. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21091\/6 + -3538. What is the common denominator of p and 154\/(-44)*(-264)\/91*2\/16?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x\/(x\/x**(-5\/3)))\/x*x**6\/x)\/(x*x*(x*x**(3\/7))\/x*x*x\/x**7) assuming x is positive.\nAnswer: x**(124\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5100136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*c + 148 = -34 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 4*o. Let q(j) = -12*j + 10. Let y(p) = -p + 1. Suppose 4*f - 40 = -5*n, f + 3*n - 10 = 5*n. Let t(g) = f*y(g) - q(g). Determine m(t(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, p: 2, x: 1}. Give prob of sequence xn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 147 and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.04169366 * -0.059\nAnswer: 0.00245992594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 162 divided by -1.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 772520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 72*q + 253. Let t(s) = 34*s + 125. Let f(o) = -6*i(o) + 13*t(o). Determine f(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 + -5. Let r = y - 3. Sort -3, r, -5 in descending order.\nAnswer: r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 3\/7  (b) -66  (c) -38  (d) 2  (e) 0.2  (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 67\/4 of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 723122998 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (21\/(-27))\/((-350)\/600)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1807 and 0.5.\nAnswer: -1806.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/2*(-12)\/(-9). Suppose 2*x = a - p*a, 3*a = -x + 10. What is the third derivative of -z**4 - 3*z**2 - a*z**2 + 6*z**2 wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/((-120)\/(-232388)) - -4. Let c(z) = 967*z - 1. Let s be c(6). Let y = q + s. Find the common denominator of 37\/18 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 0, -1, 3, -13, -595 in decreasing order.\nAnswer: 3, 0, -1, -8, -13, -595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-2\/17))**(12\/7))**40 assuming w is positive.\nAnswer: w**(-960\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1809 - -1809.791. Let v = 0.8 - i. What is v rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 33957440 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.02 - 0.08. Let u = 1.11 + -1. Which is bigger: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/(-49))\/(-12*60\/(-126))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6174 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-99)\/(-297)*(-5)\/(5\/18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 1335431431 to the nearest one hundred thousand.\nAnswer: 1335400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1000 (base 2) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -20169843410 to the nearest 1000000.\nAnswer: -20170000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v = 3*v - 9. Let s = 7 - v. What is the lowest common multiple of 7 and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4*-0.6109.\nAnswer: -0.24436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3202485229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 18 - -14?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 68.6 + -66.6. Which is the closest to -0.09?  (a) n  (b) 0  (c) 0.5  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19433 divided by 23538.\nAnswer: 19433\/23538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the second derivative of -5*w**3\/6 + 3413*w**2\/2 - 27*w. Is b(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -990, -1981, -2974, -3969, -4966?\n\"Answer: -j**2 - 988*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -197 - -193. Is i <= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2 - 20*s - 300.\nAnswer: (s - 30)*(s + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 6 + 2)*(-3 + 4 + 1)*(-1 + 1 + 3)*(-15*z - z - 2*z).\nAnswer: -324*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*i = 6*i + 990. Let d be 645\/189 - (-40)\/i. Suppose 18\/7*q**2 + 24\/7 - 60\/7*q + d*q**3 = 0. What is q?\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 12309.44 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14361 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.8  (b) 2\/5  (c) 3  (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -485, -470, -455, -440?\n\"Answer: 15*b - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-290880)\/(-5824) - 50) + (-3)\/63.\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2187 is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 13 - 3*o**2 - 7 + 4 in the form k*o + g*o**2 + x and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-7))\/((-7)\/(-14))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 189 - 232*k**2 - 186 + 243*k**2 + 4*k. Give f(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 539 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/2  (b) 0.3  (c) 24  (d) -1430\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - 21) + 56 + -51 + (13 - -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 163 - 105. Suppose 2*z - 139 - 55 = 3*g, -g - z = n. Let x = g + 80. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -103, 0, -5 in decreasing order.\nAnswer: 0, -5, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*o**(-2\/3)))**(-13)*o*o**2*o**(-9)\/o)**31 assuming o is positive.\nAnswer: o**(-1457\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1d6 (base 15) in base 4?\nAnswer: -12222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 293901?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -55024293, -55024297, -55024303, -55024311, -55024321?\nAnswer: -55024333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -613 (base 8) in base 11?\nAnswer: -32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 6*h**2 - 4. Let j(l) be the first derivative of 4*l**3 + l**2\/2 - 9*l - 186. Calculate -2*j(q) + 5*y(q).\nAnswer: 6*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 70 + -71. Calculate the remainder when 43 is divided by (1 + 1)\/(h\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 134 = -5*n + 114. Let y be (-1 - n)*(-9)\/(-6)*1. Factor -15\/4*r**3 + 27\/2*r**2 - y - 21\/4*r.\nAnswer: -3*(r - 3)*(r - 1)*(5*r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 - 4\/(-2))\/(-2). Let r = -626 + 822. Suppose z = -3*p + 7*p - r. Calculate the greatest common factor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/(-4))\/(-135) - 2\/10.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13007 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -2*j**2. Let l(c) = 0*c + 58 - 60 + c. Calculate p(l(r)).\nAnswer: -2*r**2 + 8*r - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 188 divide 888864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6d02 + -5?\nAnswer: -6d07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ylyy when four letters picked without replacement from {l: 4, y: 14}.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**3 + 79*s**2 + 400*s + 320. Let t = -126 + 127. Let o(z) = -z**3 - z**2. Let u(a) = t*f(a) - 6*o(a). Solve u(l) = 0 for l.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-66)\/(-18))\/(2\/6). Let r(f) = -f + 2. Let i be r(-12). Let w = i - p. Solve 2*m - 5 = -w*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3.6 and 17?\nAnswer: 61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -2*v**5\/5 - 138*v**4\/5 - 518*v**3\/5 + 138*v**2\/5 + 104*v = 0?\nAnswer: -65, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -302 - 17*h**2 + 302. Let j(y) = -y**2 - y**2 + 6*y - 6*y. Give j(z(b)).\nAnswer: -578*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 424 + -423. Put 0.1, 4, w, -2 in decreasing order.\nAnswer: 4, w, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes after 2:33 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/2)\/(q**(-1\/4)*q*q))\/(q**(-1)\/q)**(-4\/5) assuming q is positive.\nAnswer: q**(-57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -277603*r = -277625*r + 2068 for r.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(91) + sqrt(91))\/sqrt(7)*6.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5539542 micrograms to grams.\nAnswer: 0.0000005539542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sos when three letters picked without replacement from {s: 2, v: 1, o: 1, a: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, y: 3, u: 2, f: 1, o: 1, t: 6}. Give prob of picking 2 u, 1 t, and 1 f.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**2 + 9*f - 19. Determine a(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -160 divided by -4199.\nAnswer: 160\/4199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -4, 22838, -2\/3, 2, -9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - g = 118, -371*g + 187*g = -4*a - 179*g + 172 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -309654, -309700, -309754, -309816?\n\"Answer: -4*r**2 - 34*r - 309616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5064 or 18407?\nAnswer: 5064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 66397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 = -3*r - 3*z, 0 = 2705*r - 2699*r - 5*z + 99 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s and 1 c when four letters picked without replacement from sscoososso.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:36 AM and 1:45 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/(p*p*p**20)*p\/p**3 assuming p is positive.\nAnswer: p**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of g**9\/1512 + 7*g**5\/120 - 2*g**3 + 4. Let w(r) be the third derivative of h(r). Find the second derivative of w(q) wrt q.\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -21 + 17. Put 8, u, 1, -2 in decreasing order.\nAnswer: 8, 1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 199*g + 37*g - 6225125 - 36320719 = 0. What is g rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.2  (b) 0.3  (c) -136.1  (d) -2  (e) -58  (f) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 2 = -4*c + 16, -c - 4 = 4*n. Suppose -d - 2*i = -259, 4*d + c*i - 1373 = -341. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 37?  (a) 0.4  (b) -4  (c) -11  (d) -7403\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18 + -4. Let z(d) = -9*d**2 + 7*d + 7. Let t(n) = -4*n**2 + 3*n + 3. Let q(k) = h*t(k) - 6*z(k). Factor q(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2201918 (base 10) to base 11\nAnswer: 1274374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 - 5*u**2 + 5*u + 4. Let y be a(-6). What is the hundreds digit of y\/(-55) - 11400\/(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-4) + 8\/4 - (-412)\/1648.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 51 = 5*a. Let f = -7 - a. Solve -3*k = 2*z - 0*z + 5, -2*z + f = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -10*w. Let k be 6\/(-9) - (-264)\/72. Let a(q) be the second derivative of 0*q**k + 1\/4*q**4 + 0*q**2 - 8*q + 0. Give g(a(o)).\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 1929?\nAnswer: 7716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(735) - sqrt(735)*3)\/(sqrt(405)*1 + sqrt(5)).\nAnswer: -7*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from ddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1454*w**2 - 1 + 1863*w**2 - 1 + 1.\nAnswer: 409*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 38804*c - 9390571. Determine n(242).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2246 - -2250. Solve -p*u - 14 = 3*a, 4*u + 5*a = 3*u + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.299 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-8 - (-16 + -7)) + 9890\/(-602)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3906*d**2*l**2 - 6*d**2*x - 7*l**2*x + 99*l*x - 9*x wrt l?\nAnswer: 7812*d**2 - 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -31, -70, -109, -148?\n\"Answer: -39*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 2*c + 16 = -0*c, 12 = 2*p - 2*c. Suppose p*i + 0*i = -132. What is the units digit of (-2)\/(-5) - i\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.05482 - -0.05482. Which is the closest to t?  (a) -2\/9  (b) -4\/3  (c) -2\/7  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 7*v + 217. Calculate y(-32).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 84 + -80. Solve 0 = z*d - d + 12, -2*d - 14 = 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*f**(2\/13)*f**(-10) assuming f is positive.\nAnswer: f**(-115\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (20\/(-6))\/((-102)\/612)*(-12)\/16\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*1*sqrt(539))**2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 238521075*l - 36025264.\nAnswer: 238521075","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and 1434.6061?\nAnswer: 430.38183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 86098888.\nAnswer: 2, 83, 127, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-20)*-2 + ((-1332)\/37 - -36)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 71?  (a) 3  (b) -4  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*n + 10*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the first derivative of 0*f + 0*f**2 + 7\/5*f**5 + 4\/3*f**3 + 0*f**4 + 7. What is the third derivative of x(j) wrt j?\nAnswer: 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1552430 and -1390.\nAnswer: -1553820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, c: 10, p: 4, z: 3}. Give prob of picking 1 p and 1 c.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*h = -13*h + 126. Suppose h - 38 = 2*q. Suppose 3*o + 3*c - 3 = 0, -5*o = -4*c - q + 12. Solve 4*t - o*y = y + 2, 0 = 5*t - 4*y + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -50781*v. Let j(i) = -i. Give t(j(x)).\nAnswer: 50781*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2706)\/(-165) - 2\/5. Suppose -r*q + 23*q = 21. Solve q*x + 0 = 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 + 3)*(-107 + 153 - 124)*(-3*c + 2*c + 3*c).\nAnswer: -624*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - -8. Suppose 3*d + 4 = 3*q - j, -3*d - 12 = 0. Suppose 5*z - 2*z = 0. Solve q = -2*p - z*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 24 - 25.75. Let q = 1.9 + l. Let p = q + 0.15. Which is the smallest value?  (a) -5\/4  (b) 0.2  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/210)\/(27\/1458)*(-8 - -1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 2 = -l, 4105 = -5*r + 5*l. Let k = r + 1273. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 22 = -3*c - c, 7 = c - 2*k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -27.3 + -235.7. Let a = s + 263.2. Put -2, 0, a, -0.04 in increasing order.\nAnswer: -2, -0.04, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -0*a + i + 28, 2*i - 19 = -5*a. Let b = a + 2. Solve b*n - 8 = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15, 5, -5, -15?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 143.723 - -0.277. Let r = 124 - u. Which is smaller: -0.1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22, 27, 20, -5, -54?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3501 = -15*l + 5409. What is the greatest common factor of 66 and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -2*z + 15. Let h be d(5). Suppose h*p = 9*p - 12. Suppose 4*u**p - 12*u + 3*u**4 + 24*u**2 - 4*u**3 - 15*u**3 = 0. What is u?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9136 + -6598. Calculate the highest common divisor of k and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*o**4*z + 24797485*o**4 + o**2 + o*z + 578*z + 618 wrt o.\nAnswer: -72*o*z + 595139640*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + (-2 - -8 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -941 + 1391. Calculate the greatest common divisor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -9*q**3 + 21*q**2 + 4*q + 4. Let z(n) = 10*n**3 - 21*n**2 - 5*n - 5. Let i(c) = -5*h(c) - 4*z(c). Find the third derivative of i(v) wrt v.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**2 - 13*j - 26. Give h(13).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 153 a factor of 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -43, -90, -143, -202, -267?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -1355.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9942?\nAnswer: 2, 3, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2251 is divided by 1122.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -165, -181, -191, -195?\n\"Answer: 3*c**2 - 25*c - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1048514 is divided by 4351.\nAnswer: 4274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (72\/10)\/(-2) + 56\/(-140).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 39 - 4. Suppose 4*k - 5*u = g, 0*k + 5*u = 3*k - 30. Calculate the remainder when k is divided by 9\/(-18)*(-9 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.013*-0.04\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -19*(8\/12)\/(368\/69)*16\/2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -3, -5, -3\/4, -0.3, 11\/2218242?\nAnswer: 11\/2218242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/(-10)*140\/245\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - (-22 + 1 - -12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -101*q**2 - 139*q**2 + 330*q**2 + (-4*q + 3*q + 2*q)*(0 - 2*q + 0) - 4*q**2 + 0*q**2 + 2*q**2.\nAnswer: 86*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 6*d - 0. Suppose 23 + 9 = -4*x - 3*q, -2*x + d*q = 2. Suppose 188*m - 203*m = 105. Put x, 0.1, m in descending order.\nAnswer: 0.1, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 17.7, 5, 0.01, -0.02, -2, 3\/2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 256120004303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -q**5 - 1285793*q**4 - 201853120*q**3 - 10629787168*q**2 - 191199926528*q - 180770706688 = 0.\nAnswer: -1285636, -52, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10.46 + -10.46. Let q = 1.3 - 1.5. Sort 3\/7, i, -1, q.\nAnswer: -1, q, i, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1068110 and 12200.\nAnswer: 21362200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84157 is divided by 69?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Do 86098 and 86098 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 370 + -370.5. Suppose 10*g - 72 = g. Suppose g*f - 4*f + 40 = 0. Sort m, f, -4.\nAnswer: f, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 611939, 612778, 613617, 614456?\nAnswer: 615295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 9*u + 23. Let t be g(13). Let o be t\/8 + 1 - (-1)\/2. Suppose -o*i + 88 = -15*i. What is the remainder when i is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12*12\/54*((2040\/(-16))\/(-17) - 0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1659\/(-28))\/((-75)\/10). Does 9 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 12*s. Let q(v) be the second derivative of v**6\/180 + v**4\/12 - v**3\/3 - 2*v - 8. Let a(o) be the third derivative of q(o). Calculate r(a(k)).\nAnswer: 48*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 47, 37, 15, -25, -89, -183?\n\"Answer: -p**3 - 3*p + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 58326 = y - 5991, 2*a + 5*y - 26195 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/5 in -2\/11, 5, -0.3, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 526*q**2 - 2*q + 4116. Let o(g) = 527*g**2 - 2*g + 4097. Let c(f) = 3*o(f) - 2*x(f). What is the derivative of c(k) wrt k?\nAnswer: 1058*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 141426680 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 13, 2 in descending order.\nAnswer: 13, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v**3 + 18*v**3 + 92*v**3.\nAnswer: 110*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 16*q + 16. Let c(l) = -3*l - 3. Let k(n) = -11*c(n) - 2*j(n). Let i(m) = -5*m - 37. Let r be i(-6). Give k(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7383*q = -7232*q + 453 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - 0. Let x be 0\/(2 + -2 - 2). Let h = r - x. Which is the third smallest value?  (a) -3  (b) h  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 - 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1537 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/20)\/((-1134)\/180).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -7*y - 77. Let x be k(-12). Let q(l) = -l + 7. Let s be q(4). Sort -5, s, x in decreasing order.\nAnswer: x, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 183 = -c, 0 = y - 2*c - 46 - 20. Calculate the highest common factor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**3 + 2*j**2 - 4*j + 1. Let d be x(-3). Let y be (-28)\/(-88) + 13\/11 + -1. Which is the closest to y?  (a) 0.2  (b) d  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 241, 161, 61, -53, -175, -299?\n\"Answer: g**3 - 16*g**2 - 39*g + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -21\/4, -2\/3, -2\/59 in decreasing order.\nAnswer: -2\/59, -2\/3, -21\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*o - 11*o + 10. Calculate the remainder when o is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -34 + 37. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes before 4:43 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i + 7. Let o(t) = 3*t**2 - 4*t + 7. Let k be o(3). Let l = k - 18. Let g be m(l). Solve 4*f - 3*n = 19, f - n + 7 = g*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from pcqcqcyqyyv.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99*i + 477 = 81 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1119 is divided by 376?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 888\/28 - 4*6\/(-84). Suppose -19 = -w + 3*o, 16*o = -3*w + 20*o + v. Sort 119, -3, w.\nAnswer: -3, w, 119","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttj when three letters picked without replacement from tjtvtvvtt.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 154989 (base 10) to base 16.\nAnswer: 25d6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2110330 - 123000?\nAnswer: 1321330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002148197588 rounded to 6 decimal places?\nAnswer: 0.000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 1 v when three letters picked without replacement from {v: 7, t: 2, m: 3}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 95587426?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 314 + 362 = 8*b, 4*j + 2*b - 2 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 3*i - 6 + 0 = 0, 3*w - 4*i - 22 = 0. Let f be ((-4)\/5)\/((-4)\/10). What is the third derivative of 4*v**5 + 0*v**f - v**w - v**5 wrt v?\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.27 - -0.251016572?\nAnswer: -0.018983428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 695 is divided by 31.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 42.244 rounded to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -202 + 311 + 1143 = -109*p - 1909 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 3*j - 42 = -3364*r + 3362*r, 0 = -5*j - 10 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 242234263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -7*o**3 + 6*o**2 + 9*o + 16. Let c(d) = 2*d**3 - 1. Let u(f) = 4*c(f) + g(f). Let r be u(-5). Let x(i) = i**2 + 10*i + 12. What is x(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 - 20*l**2 - 15*l + 57. Determine y(-19).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of l**2 - 7\/12*l**4 + 0 - 1\/3*l**3 - 49*l. Let g(n) = -6*n**2 - n + 2. Give -5*g(r) + 4*q(r).\nAnswer: 2*r**2 - 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 663 is divided by 109.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-2\/5)\/s)\/s*s*s**(-1\/3))**(-1) assuming s is positive.\nAnswer: s**(26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/(h\/h**1))**31*(h\/(h\/((h*h*h\/(h\/h**(-2\/5)))\/h)))**4*h**(1\/11)*h**(5\/4)\/h*h*h**8\/h*h**(-2\/9) assuming h is positive.\nAnswer: h**(143587\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 798 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - 20435?\nAnswer: -20439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/10  (b) 0.24  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 + -2fa?\nAnswer: -2f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**3 + 2. Let w be i(0). Suppose -8 = -5*y + w. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*q - 38 = -132 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 415 - 405. Let a(o) = 1 - 5 + 3*o + 1. Let u be a(3). Solve 2*c + 2*h = u, -3*h + 1 = 5*c - z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*2\/(-5)*(-5)\/(-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2*(-3)\/(-6) + (-3)\/3. Suppose 0 = -5*z + 134 - 139. Are g and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 16*s - 4. Let y be v(0). Let h(x) = -9*x**2 - 5*x - 26. Let n(z) = -20*z**2 - 9*z - 54. Let r(m) = y*n(m) + 9*h(m). What is k in r(k) = 0?\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -299 by 28444.\nAnswer: -23\/2188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + 9 + 11. Calculate the highest common factor of b and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31303 (base 6) in base 5?\nAnswer: 113330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -91 - -258. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*w - 41 - 13 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 10.34 and 0.3.\nAnswer: 3.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-46 - -8) + 9)\/((-3)\/(1 + -4)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Is -986\/13 at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (362\/1448)\/(-1 - (-36965)\/36964).\nAnswer: 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 295, -1, 1, 0, -5 in increasing order.\nAnswer: -5, -1, 0, 1, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -446\/35 - -85\/7. Which is smaller: f or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9?  (a) 0.25  (b) 1.5  (c) 0.2  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10.07 - 0.43. Let n = h + 4.5. Let a = n + 6.095. Round a to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 9872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -17238 + 17237. Let o(y) = -7*y**3 - y**2 - 3*y - 1. Give o(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -431886 and 6.8.\nAnswer: -431879.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 <= 174\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -4*g**2 - 203*g + 5006. Let x(c) = -2*c**2 - c + 2. Let j(d) = -2*b(d) + 6*x(d). Factor j(s).\nAnswer: -4*(s - 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -311.37 - 5.63. Let k = m - -312. Let n = 4 + -4.03. What is the third smallest value in n, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 - 11*g**2 - 65*g - 16. Calculate f(15).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(5\/4))\/(q**29*q) assuming q is positive.\nAnswer: q**(-121\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 2*a**5 - 1027294*a**4\/3 + 1940400*a**3 - 3424208*a**2 + 4109024*a\/3 + 913120 = 0.\nAnswer: -1\/3, 2, 171210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.416 - -3.716. Suppose 3*y - i + 297 = -3*i, i = 2*y + 191. Let l = y + 1263\/13. Put l, -5\/3, 1\/6, t in descending order.\nAnswer: t, 1\/6, l, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3125 + 3124. Let c(y) = -3*y - 3. Let u(v) = v. Determine r*c(k) + 2*u(k).\nAnswer: 5*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 42470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1900) + -4*(sqrt(1900) - -1*sqrt(1900)) + sqrt(1900))**2 + 2 + sqrt(1900)*4)*-1 + 4.\nAnswer: -68398 - 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -2076*j**2 + 63*j + 1. Let y(n) = 10381*n**2 - 336*n - 5. Calculate -16*q(c) - 3*y(c).\nAnswer: 2073*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -96 - -92. Let d be (6\/g)\/(12\/116). Is d > -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25527328709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 30 (base 10) to base 9\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**2 + 11*l - 1. Let b(w) = w**2 - 2*w + 6. Let o be b(3). Calculate the remainder when m(8) is divided by 2\/6 + 51\/o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 168859549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**7*x*x)\/x**(-4)*x**(-2\/7)\/(x*x**(-2\/17)))\/(((((x*x**(1\/8))\/x)\/x)\/((((x*x**(3\/5)*x)\/x)\/x)\/x))\/(x**(-1\/3)*x)**13) assuming x is positive.\nAnswer: x**(299503\/14280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 4*p**2. Let c(m) = -3*m + 2. Let x(k) = 13*k - 9. Let v(r) = 18*c(r) + 4*x(r). Calculate v(b(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 5*g + 1 = 7*f, 0 = -2*f - 2*g + 14. Let i = -11 + 5. Let m = 17 + i. Solve m = 3*c - f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-6) - 130\/(-6). Suppose u = 2*x + 2*k + 2*k, -4*x = -4*k - 32. Let r(l) = x*l - 4*l - l**2 + 6 + 0*l**2. Determine r(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6 plus -203582538368?\nAnswer: -203582538368.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00036457133 rounded to 6 decimal places?\nAnswer: -0.000365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 23*n - 19*n - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1106820 and 390.\nAnswer: 1106820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1121 + 521?\nAnswer: 2042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 444 and 1236.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2*(-1)\/2 - 0. Suppose 21 = d - 4*d - 4*i, -2*d - 2*i - 12 = 0. Let u be d + -3 - 320\/(-56). What is the third smallest value in u, 3\/7, p?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.06489259 times -4\nAnswer: -0.25957036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -33, -255, -859, -2037, -3981, -6883?\n\"Answer: -32*s**3 + s**2 - s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6034352 (base 7) to base 15.\nAnswer: -e1b38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 7.5911493 hours?\nAnswer: 0.0451854125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 376\/1974*(55\/(-30) - -3). Suppose -3*z - 20 = -8*z. Let c = z + -17. Put j, c, 2 in descending order.\nAnswer: 2, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -269 and 0.8.\nAnswer: -215.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -48*g - 187. Let d be s(-4). Let h = -0.05 + -0.05. Let x = h + 0.11. Which is the third biggest value?  (a) -4  (b) d  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + c + 22 = -2*c, -5*q + 5*c + 20 = 0. Let z be (q\/10)\/((-3)\/(-24)). Solve 0 = -3*y + 8*y + 20, -2*y = -u + z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -629*f + 11. Let z be t(-5). Let o = z + -44255\/14. Find the common denominator of 59\/10 and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*z + 15354 = 74273. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 63095219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 15*y**2 + 2*y + 4. Let c(m) = 15*m**2 + 3*m + 5. Determine -4*c(i) + 5*f(i).\nAnswer: 15*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the first derivative of o**2 + 3*o + 2. Let c be q(-2). Find the common denominator of (-83)\/8 + c\/(-1) and -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -804, -17 in descending order.\nAnswer: 2, -17, -804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -30*u - 8 + 1 + 6 in the form w*u + n and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of j**3 - j**3 + 109 + 2*j**4 - 106 wrt j?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**2 + 6*g + 3. Determine w(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b + 1. Let l be q(6). Let j(s) = -l - 4*s + 5 - 5. Let p(x) = x + 2. Let k(d) = d**2 - 7. Let y be k(0). Determine y*p(m) - 2*j(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*y - 7810 = 4994. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of 129*w**2\/2 + 815. Let f(c) = -4*c. Give f(r(u)).\nAnswer: -516*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, 6, -1.32, 0.6, 0.4 in decreasing order.\nAnswer: 6, 2\/3, 0.6, 0.4, -1.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-32 - (25 + -45)) + -29?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5582 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3770\/(-4095) - (-16)\/14) + (-796)\/18?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Factor 0*q**4 + 1\/2*q**3 - 1\/6*q**5 + 0*q + 1\/3*q**2 + 0.\nAnswer: -q**2*(q - 2)*(q + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (165 + 205 - 82)*(3 - 4*w - 2*w + 5*w)*(-3 - 3 + 3) as v*w + i and give i.\nAnswer: -2592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1359.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 2*t - 6. Let m be i(6). Let o(p) = -p**3 - 4*p - 3 - m*p**2 + 2*p + 5. Let v be o(-6). What is the highest common factor of 14 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 5*c + 1346 = -1464, 5*c = -3*w + 1684. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**2 + 83*q + 1034. Give a(94).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -48520, -194072, -436656, -776272, -1212920, -1746600?\n\"Answer: -48516*w**2 - 4*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1177, 2350, 3523?\n\"Answer: 1173*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes before 3:33 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2*h**4 + 2)*(1 - 1 + h) + 2*h**5 - 4*h**3 + 4*h**3 + 0*h**3 - h**5 + 0*h**3 - 3*h**5 + h**5 + h**5 + 314*h**2 - 314*h**2 - 16*h**5.\nAnswer: -14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9\/16 in -3.8, 2, 2\/7, -0.051?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*x - x - 6*x to the form s*x + j and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/760 and 93\/380.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -6, 5, -0.5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -28.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from grrrgrrrgrgrrr. What is prob of sequence ggrr?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -644226565849 - -0.019\nAnswer: -644226565848.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from iiffjiiiiiccfiiijcii.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -161 = 3*o - 161 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 - 5*l**2 + 6*l - 3. Let s be n(4). Solve -12 = -5*c + 4*v, -2*v = -c + 1 + s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 - -9) + -4 + 116\/(-38). Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 290544659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-432)\/((-774)\/(-258)) + 1*41.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25806106 plus -0.18?\nAnswer: -25806106.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*w + 6*w = -4*w + 3*b - 97, 3*b - 47 = w for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/16 and -95\/492971588?\nAnswer: 1971886352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -45 - -44. Which is the nearest to g?  (a) -4  (b) -2\/35  (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 2*u - 14, -2*a - 12 = -0*u - u. Suppose -c + 19 = 3*f - u*f, -3*f = -12. Let g = 19 - c. Solve g = -2*s + s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.0661 - -324.0661. Let l = u - 320. Sort 0.1, -3, l, -1 in increasing order.\nAnswer: -3, -1, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-20)*x)\/(x*x*x\/x**(-10)))\/((x**4\/x)\/(x\/((x\/(x*x**(-1\/13)))\/x))) assuming x is positive.\nAnswer: x**(-430\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 2, -1, 10.737, 0.3, 1\/4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-18)*21\/(-84)*-30?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(1\/(-13) + 0). Let l = d + 22. What is the remainder when 16 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1595\/9 - -177. Sort 4\/11, 2, c in increasing order.\nAnswer: c, 4\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -70 - 6. Let j = 170 + h. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 >= 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -76999, -70097, -63195?\nAnswer: -56293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/791 and 53\/565?\nAnswer: 3955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**2 + 4*d - 2. Let q = 374 + -378. Calculate c(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 14 and 58630\/312 + (-2)\/(-24).\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of 789*o**4 - 33*o**2\/2 - 8*o + 5070. What is the second derivative of f(k) wrt k?\nAnswer: 18936*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1201437 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 3*v + 10, -5*i + 8 + 58 = v. What is the highest common factor of i and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(24) - sqrt(1944)*-1) + (sqrt(1944) - (-1*sqrt(1944) + sqrt(1944))))\/(3*sqrt(18)*-4).\nAnswer: -19*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in 3, -0.07, 2\/11, -0.5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -79303 divided by -405.\nAnswer: 79303\/405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 152.24617, 1\/4 in descending order.\nAnswer: 152.24617, 1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -149.9 + 152. What is the nearest to -3 in r, -10, 5\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q - 5. Suppose 9*r - 4*r = -30. Determine h(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/(v\/v**(4\/3))*v\/((v*v*v\/(v**(-12\/5)\/v))\/v))\/(v**(-3\/8)\/(v*v\/v**(-6\/13)*v*v*v)) assuming v is positive.\nAnswer: v**(5881\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in v + v + 2*v - 5*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 11 + 0 - (-21 + -24 + 23 + -10)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 147939.481012 + -147938. Let z = 1.48 - a. Round z to five decimal places.\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 8*g + 8. Let l(b) = b - 1. Let o(r) = c(r) - 6*l(r). Let a be o(-6). Suppose -24 = -4*f - 2*u - a*u, 2*f - 5*u = 33. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = 3*m - m - 3*n, -5*m + 3*n = -82. Solve -2*r - 3*x - m = 0, -5*x + x - 8 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oamembbabb. Give prob of picking 1 m and 2 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/32696975 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than -48751636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 - 1 - 1)*(0 - 2 + 0) + 2 - 2 + 2)*(-2*z - z + 4*z).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*j**2 - 13*j**2 - 3*j**2)*((1 - 1 + j)*(-2 - 1 + 10) + 0 + 2*j + 0).\nAnswer: -198*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 5.251806mm?\nAnswer: 0.000005251806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 3732*l - 10. Let z(h) = 1242*h - 4. Calculate 3*t(d) - 8*z(d).\nAnswer: 1260*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-97485)\/246962*(-2)\/5.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1086171622 and 2386?\nAnswer: 2386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10528, 17807, 37542, 75955, 139268, 233703, 365482, 540827?\nAnswer: 765960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18) - ((sqrt(108)*1 - sqrt(108))\/sqrt(6) + sqrt(18)))\/(sqrt(900)\/sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1 * -0.049\nAnswer: -0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 67091, 134598, 202105, 269612, 337119, 404626?\nAnswer: 472133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes before 2:31 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 75 and 4179?\nAnswer: 104475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dvhvhhhn. Give prob of picking 2 h and 2 v.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3059 is divided by 53.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3946 * 0.33.\nAnswer: -1302.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 991253, 991251, 991249, 991247?\nAnswer: 991245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-31)\/(-1) + 844\/211?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**3 + w**2 + 25. Let g = -20 - -20. What is the units digit of l(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 2*m = -3*m - 9, -4 = q + 5*m. Let w be (231\/(-60) + q)*-2. Let b = w - 21\/5. Is b > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -5*c**3 + 2*c**2 - 2. Let s(l) = -2*l**3 + l**2. Let u be ((-8)\/(-32))\/(5\/40). Let y(k) = u*s(k) - x(k). Determine y(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*o = -45*o - 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 30\/45*(-198)\/44?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -3*y**2. Let f(x) = -48039*x. Give f(n(t)).\nAnswer: 144117*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1136678?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*(m*m*(m*m**5)\/m)\/m*m*(m**(-6)\/m)\/m)**(9\/5)*(m**(-5)\/((m*m*m**(-5))\/m))\/(m**(-1)\/(m*m\/(m\/(m*(m\/(m**3\/m))\/m))*m)) assuming m is positive.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1730997 times 197?\nAnswer: -341006409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 65408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 6:55 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**3 + 5*i**2 - i - 4. Let l be (-6)\/42 - 136\/28. What is f(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -5131*h + 41034. Calculate p(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 4) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55107637 is divided by 933.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of h**4\/4 - 5*h**3 + 32*h**2. Let l be s(7). What is the highest common factor of 16 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3  (b) -1\/8  (c) -0.2  (d) 11\/4680\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1410308168?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7.1 - -8. Let w = 0.1 + v. Let n = -33 - -625\/19. Which is the nearest to w?  (a) 2\/7  (b) n  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = 5*v - 5, 10 = -2*l + 2*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 22 + 309?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y + 33 = -23. Which is the nearest to -1?  (a) -4  (b) -0.5  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 102, 11837 in increasing order.\nAnswer: -3, 102, 11837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/512774 at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26676 is divided by 13328?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18609?\nAnswer: 3, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 391 - 664. Let k = 405 + g. Does 22 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8800 - -8844.81. Let l = -44.69 - 0.31. Let o = l + u. What is o rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of j**3*u**2 - 8248*j*u**3 + 275258*u**3 wrt j?\nAnswer: 3*j**2*u**2 - 8248*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108 is divided by 50.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**0)**(-39)\/(((h*h*(h*(h\/(((((h\/h**4)\/h)\/h)\/h*h)\/h))\/h*h)\/h)\/h)\/h*h**3*h)*(h\/h**(-1))\/(h\/h**(1\/2))*(h\/h**(2\/5))**(2\/87) assuming h is positive.\nAnswer: h**(-2751\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 2*h - 4. Let d be k(3). Let y be 1 + 0 + (d - -2). Suppose -y = s - 4*s + 4*q, -3*s = -3*q - 9. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uututugugttguu. What is prob of sequence ugt?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1652 - 0.254. Let i = j - 0.0112. What is the closest to i in -1\/3, -1\/15, -2\/13, 1\/3?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -13*v**2 + 4*v + 6. Let n(p) = -27*p**2 + 7*p + 10. Let y(l) = -4*n(l) + 7*z(l). Let f(b) = -6*b**2. What is f(y(o))?\nAnswer: -1734*o**4 - 408*o**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 260, 1525, 4452, 9713, 17980?\n\"Answer: 112*a**3 + 159*a**2 + 4*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 399 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27937294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1505\/3716 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 25 and -2.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 29.\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -368.\nAnswer: -3\/368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 20*i. Let j(p) = -7*p. Let a(n) = 6*d(n) + 17*j(n). Let f be (113 + (-168 - -82))*(2\/(-6) + (-1 - -1)). Give a(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72\/112*(1232\/1248)\/(-11)?\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-292)\/3066)\/((-9)\/84*2)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-12)*15 + -2. What is the closest to 0.3 in q, 1\/11, -1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 423 divide 95140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 238277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**3\/4 - 8430731*h**2\/2 + 16861465*h - 16861466.\nAnswer: -(h - 2)**2*(h + 16861466)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 5 + ((-16 - -10) + 12 - (-1 + 4))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 1 + 3 + (3 - 3 + 1)*(-3 + 2 + 0) + (-40 + 96 + 117)*(1 + 1 - 1))*(-3*o - o + 5*o + 2).\nAnswer: 170*o + 340","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) 5  (c) -2\/11  (d) 0.3  (e) 23  (f) 5.66\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1385 - -1380. Which is the biggest value?  (a) h  (b) 0.3  (c) -2  (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 779 and 8223329.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2080 = -4467*m + 4571*m for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 570 = -5*b - 5*z, 3*b - 326 = 5*z. Let o = -117 + 189. Let d = o - b. Round d to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 748 = -1908*q + 1925*q. Solve -5*m + 1 = 5*p - q, -15 = p - 5*m for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1253647?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 48448 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 2 = 3. Let o be 0 + 4\/2 + i. Let f(u) = 4*u - 1. List the prime factors of f(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/9 - ((-104)\/(-18) + -10). Suppose n*b = a - 211, -a - b = 4*a - 1160. Calculate the greatest common divisor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -97500 by -156.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m + 3. Let c be h(-1). Let u(r) = -c + 3*r + 0*r + 2. Let a(l) = -2*l. Calculate u(a(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 6\/7, 4, -2?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4652731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*g**2 - 3*g**2 + 5*g**2)*(-33*g - 8*g - 14*g - 7*g).\nAnswer: 124*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the first derivative of -2\/3*l**3 + 1\/4*l**4 + 0*l**2 - 5 + 0*l. What is the third derivative of d(h) wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 0 + 4 = 0. Let q = -14 - -22. What is the smallest common multiple of h and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 44 + 34 + 2*l - 81 + 26. Let y(q) = 2*q**2. Calculate z(y(o)).\nAnswer: 4*o**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 + 6*w + 8. Let r = 15 + -12. Suppose 0 = -4*i + 8, 7*i = -r*t + 4*i - 12. Calculate the least common multiple of y(t) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and -26426726?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1\/(-2))\/(2 + 0). Let f = 0.0281933 - -9.9718067. What is the fourth biggest value in t, 1\/4, f, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - 6\/4)*-4. Let s be (3 - 2)\/((-1)\/x). Let y be (-1 - s)*(1 + 2). Calculate the greatest common factor of 24 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 80436 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 6 + 9*x)*(5*x**3 - 3*x**3 + x**3) as a*x**3 + g + h*x**4 + b*x**2 + n*x and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (16*g + 84*g - 62*g + 33*g)*(-297 + 508 - 258) as t + p*g and give p.\nAnswer: -3337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) 11  (b) -1\/4  (c) 4  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4, -0.1, -2\/5051, -18, 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -c + 105753*c**2 + 0*c - 101212*c**2 as h*c + j + d*c**2 and give d.\nAnswer: 4541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/(-4)*(-9320)\/3262?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 116 - 346 - 63*x + 119 - 315*x + 122.\nAnswer: -378*x + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the second derivative of -3*d**7\/14 + 7*d**4\/12 - 4*d. Find the third derivative of x(k) wrt k.\nAnswer: -540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3690 + -3621. Calculate the remainder when 265 is divided by f.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -15 + 7. Let s be (-4 - 48\/(-20))\/(w\/1100). What is the highest common factor of s and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.07*0.4.\nAnswer: -1.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-18)\/77*(-15 + -6) and -42\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**2 + 10*l - 34. Let v be p(-13). Let b = v - 4. Solve -4 = 5*z + b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(2*((-1 + sqrt(176) + sqrt(176) + sqrt(176))*-5 - sqrt(22)\/((sqrt(30)\/sqrt(3))\/sqrt(5)))*2)**2 + 1.\nAnswer: -1965887 + 29280*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*f**2 - f + 3*f + 39*f**2.\nAnswer: 55*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -13a5 - -964b6?\nAnswer: 95111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 5*-1 - (-399)\/63\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*d - 10*d - 4*q + 1724, 4*d - 1724 = 5*q. What is the third derivative of 322*p**2 - 2*p**3 - 28*p**4 + d*p**2 - 831*p**2 wrt p?\nAnswer: -672*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {c: 10, y: 6, h: 2}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 30*t**3 - 122*t**2 - 7403*t.\nAnswer: 180*t - 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 86253870, 172507742, 258761614?\n\"Answer: 86253872*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 70 and 13525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the second derivative of w**3\/3 + w. Let i(t) be the second derivative of t**3\/2 - 10*t. What is m(i(x))?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the first derivative of -a**4\/12 + a**2 - 2. Let p(l) be the second derivative of z(l). Let b be (-8)\/12*(-9)\/(-6). Calculate p(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**2 + 2*v + 16. Let j be c(5). Let w(s) = -7*s + 1. Calculate w(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.919642km in nanometers?\nAnswer: 1919642000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 44, 0.05, 0.5, -0.9, 4.4, 5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -186a (base 12) to base 15.\nAnswer: -d27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3200 = 814630*n - 814530*n for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -3, 4*n = 5*h - 30714 - 28063. Suppose 3*i = f - 2337, -5*f + 0*i = 2*i - h. Let x = f - 1670. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5633*h - 82 + 82 + 42261*h.\nAnswer: 36628*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -7*u + 9924. Is 20 a factor of w(72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 + 13*(3 + (-16)\/5))*16265\/126867\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -19*i**3 - 3*i**2 - 5*i - 15. What is the hundreds digit of m(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2477\/11 or 224?\nAnswer: 2477\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 249513, 499023, 748533, 998043, 1247553?\nAnswer: 1497063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 359015365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**2 + 2282*k - 60156.\nAnswer: -2*(k - 1114)*(k - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b**5 + 3*b**5 + 0*b**5)*(58 - 56 - 32)*(6 - 1 - 2)*(0 - 7 + 3).\nAnswer: 1080*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1299357?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -206*-408.\nAnswer: 84048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/2)\/(47\/611)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 9724*m - 106690. Determine j(11).\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m**5\/2 - 7*m**4\/2 + 3*m**3 + 14*m**2 - 20*m = 0. What is m?\nAnswer: -2, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19, 75, 211, 469, 891, 1519?\nAnswer: 2395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1075755, 2151516, 3227281, 4303050, 5378823, 6454600, 7530381?\n\"Answer: 2*z**2 + 1075755*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -980 + 984. What is the remainder when 94 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1918 is divided by 629?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -1 + 81 + (-23 - 9) + 16\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**3 - 12*i**2 - i + 14. Let d be a(12). Let h be d - -2 - 32\/(-8). Does 26 divide ((-12)\/h)\/((-6)\/404)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1341471 a multiple of 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14*c**2 - 13*c**6 + 5*c**6 + 4*c**6 wrt c?\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 + -2. What is the greatest common factor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6306864um to nanometers.\nAnswer: 630.6864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 94200383.\nAnswer: 17, 2029, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + 1000002?\nAnswer: 222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -0.09  (b) 2  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2)\/((7 + 2 + -8)\/(-149))?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-740 + 1644 - 804 + 182*x)*(3*x + 2*x - 3*x) to the form y*x + j*x**2 + i and give j.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2025682249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**9\/k)\/k*k)**(28\/5)*k*k*k**(-25)*k*k**(-21) assuming k is positive.\nAnswer: k**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 250390.\nAnswer: 2, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*s + 28 = 21*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**2 + 2*p + 1. Suppose 5*f = -w - 4, -4*f = 4*w + 10 + 6. Let v(u) = 4*u - 9. Let t be v(4). Let h = w + t. What is s(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 5*p + 3*p = 6, -3 = -p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -40*x**2 - 16*x + 19. Let h(w) = 23*w**2 + 10*w - 10. Let p(o) = -7*h(o) - 4*j(o). Give p(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.1  (b) 0.44957  (c) 0.31  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2433271862?\nAnswer: 2, 7, 1451, 119783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.446 rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-4))\/((-13)\/130)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 9 = -5*q, -2*q - 2 = -5*d + 6. Suppose 3*a + 3 = 2*r + 14, -3*r = -4*a + 14. Let r*n + n - 3*n + d*n**2 = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.4?  (a) -1\/3  (b) 84  (c) 1\/5  (d) -0.2  (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1611837283*f + 1611837283*f - 9*f**2.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vjv when three letters picked without replacement from {t: 5, c: 1, v: 5, j: 4, a: 3}.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 11) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 91 - -5 - (-37 + -44 + 83)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 615, -201, 3 in increasing order.\nAnswer: -201, 3, 10, 615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5616 + -5606. Let m = 1.11 + -0.11. What is the third smallest value in k, -0.08, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 392015?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 112 in 0.2, -4, 4, -72, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-22759)\/60001)\/(4\/(-58))\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7*((-2342)\/22249 + 422\/2926*1)*1?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -2*h**3 - 16*h**2 + 17*h - 7. Let d be r(-9). Let i be (-1)\/d - (-2230)\/20. Let m = -75 + i. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124 = -10*z - 534. Suppose 4*p = -l - 169, -2*l - 36 = -26. Are p and z non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*g**2 - 2 + 0*g**2 + 781*g**3 + 3*g - 782*g**3 to y*g + s*g**3 + l + h*g**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pipip. Give prob of picking 3 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.37294175 to 2 decimal places.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 12.35 and 74.\nAnswer: 913.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9 in -1, 0, -85\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*a**4 - 17235*a**3 - 40017*a**2 + 32427*a - 5724 = 0. What is a?\nAnswer: -636, -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1\/4, 2\/7, -2\/5, 1 in increasing order.\nAnswer: -5, -2\/5, -1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 - 4*r**2 + 39*r + 21. List the prime factors of t(-10).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g\/(g**(-3\/4)*g)*g*g**(-26))\/((g\/(g*g**(-10\/11)))\/g*g**(-4\/3)) assuming g is positive.\nAnswer: g**(-2881\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 847.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 155, 203, 267, 353, 467, 615?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = n. Let a(f) be the first derivative of 0*f**4 - 2 + 0*f**2 + n*f + 2\/5*f**5 + 2\/3*f**3. Find the third derivative of a(v) wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 0, -2\/9, 2, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 359418 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 189084053?\nAnswer: 189084053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 11894986, 11895008, 11895030, 11895052, 11895074?\n\"Answer: 22*w + 11894964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -7  (c) 13695  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 2*h + 9, 5*v = 5*h + 19 + 11. Let w(c) = c**2 - c + 1. Let y be w(3). Suppose 2*f - y = 5. Calculate the smallest common multiple of f and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 2*g**2 - 9*g + 17. Let u be q(8). Let a = u - 7. What are the prime factors of a?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5510 divided by 190.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**2 + 0*j**2 + 3*j**2)*(24*j + 15*j - 5*j).\nAnswer: 68*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 4*j - 168, -3*v + 2*j = -j - 564. Calculate the remainder when v is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 553154743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*q**2 - 2*q**2 + 9*q - 4*q - 5*q**3 wrt q.\nAnswer: -30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10210122 - -1100220102?\nAnswer: 1111201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(160\/12)*5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8.67 or -70.774?\nAnswer: -70.774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1681.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 54*m**2 + 16*m - 8. Let b(k) = 2*k**2 + 6*k + 7. Let f be b(-2). Let c be 7\/((-28)\/(-8) - f). Let s be w(c). Round s to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**4\/3 - 2084*g**3\/3 - 8304*g**2 - 99520*g\/3 - 132608\/3.\nAnswer: -(g + 4)**3*(g + 2072)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2720\/476)\/(1\/(-35)*7*(-4)\/(-14))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 941514 is divided by 156917.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -33*l**4 + 1 - 1 - 22*l**2 - 7*l**5 + 24*l**5 - 13*l**5 wrt l.\nAnswer: 240*l**2 - 792*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -2*r + 1. Let m be t(-1). Suppose -61 = -5*v - 5*a + 24, 0 = 5*v - a - 133. What is the greatest common divisor of m and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2.8, -0.5, -3\/7, 19040, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 6*g - 15. Suppose -2*w - 20 = -5*s, -2*s + 2 = -w - 6. What is the third biggest value in w, g, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the second derivative of -k**5\/20 - k**4\/2 + 3*k**3\/2 - 264*k. What is l(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the second derivative of 121*s**4\/12 + s**3\/2 + s**2 - 22*s. What is the hundreds digit of p(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1736325*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -517 + 10084333?\nAnswer: 10083816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1487623?\nAnswer: 1487623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 3  (b) 0  (c) -0.5  (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -180146 - -25220313\/140. Calculate the common denominator of 41\/1694 and g.\nAnswer: 16940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 99829673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 23585516?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*o - 207 + 81. Let p(l) = 13*l**3 - 7*l**2 - 29*l**3 + 5*l - 10 + o*l**3. List the prime factors of p(-6).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -2*o - 3. Let c = 0 - -3. Suppose 13*u + 3 = 14*u. Let r(a) = -2*a - 1 + u*a + 3. Give c*p(n) + 5*r(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2*u - 15 = 0, 4*u + 20 = 3*q + 5*u. Suppose 2*d = -q*w + 5107, w = -5*d + 685 + 318. What are the prime factors of w?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.25 or 11615?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes after 6:21 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-5)*k\/((k**(-5)\/k)\/k))\/(k**(1\/3))**(-3\/14))**(-9) assuming k is positive.\nAnswer: k**(-387\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1648, -1647, -1646, -1645, -1644?\nAnswer: -1643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 292903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (152\/(-114))\/(3\/9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110250 divided by -63?\nAnswer: 1750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -129600 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 164*c - 58145 = 159*c. Let o = 26066 - c. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that h**5\/3 - 7*h**4\/3 - 137*h**3\/3 - 517*h**2\/3 - 728*h\/3 - 340\/3 = 0.\nAnswer: -5, -2, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 + k**2 + 5*k + 3. Let w be b(-3). Suppose 0 = -a + f + f + 28, 2*f - w = -a. What is the remainder when a is divided by 2\/(-3) - 29\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + 2*c - 2*c)*(-4 - 3 + 6) - 957*c + 48*c - 1975*c - 1074*c.\nAnswer: -3957*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**3 + 9*k**2 - 10*k - 1. Let o be 11 + (-4)\/14 + (-48)\/(-21). Suppose -3*u - o = -2*q - 4*u, 18 = 3*q + 2*u. Calculate r(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 AM and 5:30 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**2 + 5261*m + 405612.\nAnswer: -(m - 5337)*(m + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 181 - h**2 - 1437 - 482*h**3 - 589*h**3 wrt h.\nAnswer: -3213*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 41038.94 kilometers?\nAnswer: 4103894000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 87*k - k - 136*k - 224*k - 179*k.\nAnswer: -453*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 436289471*w**5 - 45*w**2 + 3240556 wrt w?\nAnswer: 26177368260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1555008 is divided by 112?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wutu when four letters picked without replacement from utwttuttw.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - 12, -6*c + 5*c + 5*a + 19 = 0. Suppose -5*y = -c*f - 1 - 6, -5*y + f + 13 = 0. Solve -d + 8 = -y*p, 4*d + 2 = -4*p - p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1331\/10 or 1\/3?\nAnswer: 1331\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 131209447\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87 - 34 = 38*f - 327 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1358927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is a5 (base 12) in base 8?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {k: 1, u: 11}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 19211\/1910 + 8\/191. What is the common denominator of a and -101\/92?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n - 3. Suppose t + 2 = 7. Let x be v(t). Solve -x*a + 4 - 19 = f, 2*f + a + 15 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-316)\/(-10))\/((-96)\/(-57840)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u + 5. Let z be o(-4). Let r(i) = -i**3 + 19*i**2 - 31*i - 53. Let n be r(17). Let k be 480\/(-3584)*n\/5. Which is smaller: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 6224 = 5*s, 3*a = -0*a - 12. Solve 3*g = s - 1245 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 6*m**4 + 162*m**3 + 237*m**2 + 45*m - 15. Let g(c) = -c**4 - 23*c**3 - 34*c**2 - 6*c + 2. Let a(n) = -15*g(n) - 2*y(n). Factor a(f).\nAnswer: 3*f**2*(f + 3)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 w when three letters picked without replacement from scttstsrwct?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 954 and 666.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8722 by -4.\nAnswer: -4361\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 - 7. Let u = n - 16. Let j = -3 - u. Solve 0 = r + 5*a - 1, j*r + 3*a = -0 + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - -25) + -22 + -16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/3738 and 23\/18067?\nAnswer: 108402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/(-10))\/((-2)\/(-10)) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 595*y**6 - y**4 + 172250*y**2 wrt y.\nAnswer: 71400*y**3 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17446000 and 16016.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 29715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 539 - 163. Suppose -4*x - 4*l - t = 0, x = 2*x + 4*l + 82. List the prime factors of -8*(x\/(-4))\/(-7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60282381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 7, v: 2, y: 7, a: 3}. Give prob of sequence oay.\nAnswer: 49\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -188 + 56 + 4*n + 45 + 36 + 56.\nAnswer: 4*n + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(600) + sqrt(600)*-1*-3)\/sqrt(12))\/(sqrt(40)*-5 + (sqrt(50)*2 - sqrt(50))\/sqrt(5) + sqrt(10)) + 2)**2.\nAnswer: -2*sqrt(5) + 21\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000638515 rounded to six decimal places?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n + 1. What is f(31)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 62 divided by 13892643.\nAnswer: 62\/13892643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.2 + 3255.1.\nAnswer: 3252.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - 6*n + 3*n = 16, -b = -5*n - 24 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 22776.543 microseconds?\nAnswer: 0.0000063268175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (11 - 1) - (4 + -10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t + 3 - 3)*(-3 + 7 - 2)*(3 - 67 - 28)*(-2 - 1 + 1)*(-6*t + 2*t + 3*t).\nAnswer: 368*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 + (-3 - (12 - 7) - 1).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -6479 > -6481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 13 = 4*u. Suppose 4*m - 3*m = 5*t - 47, -u*t = 4*m - 42. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 3*g = -43, -g - 4*g - 19 = -3*v. Let b(x) = 2*x - 12. Let d be b(v). Suppose 0 = j - 0*j - d. Calculate the highest common factor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 23 = 3*d, 3*d - d + 22 = 3*i. Suppose -4*g = -3*p + 151, -i*p + g + 246 = p. What is the highest common factor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -31 - v + 7 + 10 + 9. Calculate z(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3339875 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 80865 - 80865 - 2*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, z: 4, r: 1, p: 5, y: 4, u: 3}. Give prob of sequence pu.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4 - 2)\/((-2)\/(-3)). Suppose -t*u - 989 = -1040. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77917505 to the power of 1\/2, to the nearest integer?\nAnswer: 8827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*i - 14*i - 10 = 0. Let f be (-6)\/1 - 15\/i. Sort -0.7, 1\/5, f, 1 in ascending order.\nAnswer: -0.7, 1\/5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 + 47*c - 923. Let o be x(15). Let u(f) = -2*f - 15. What is u(o)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gjgjggjjgjggggjjggg. What is prob of picking 2 g and 1 j?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 16 = -9*r + 4*r, -2*r = 5*p + 6. Let t be 2\/12*p*-12. Suppose o + 3*o + t*a = 88, 42 = 3*o - 5*a. What is the remainder when 55 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2\/9  (b) 5\/3  (c) 17  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-7))**1)**10 assuming b is positive.\nAnswer: b**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62 = -7*x + 36. Suppose 0 = 2*o + x*o - 256. What is the remainder when 61 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2420 or 360416\/149?\nAnswer: 2420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1134 - 324*r + 185*r - 2*r**2 - 5*r.\nAnswer: -2*(r + 9)*(r + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 1 - 2390*z - 9 + 2 + 1958*z.\nAnswer: -432*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**2 - 7*y - 3. Let b be x(-3). What is the greatest common divisor of 36 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 2*x, -3*o - 4 + 1 = -5*x. Let b = 11 + o. Solve -5*f = -3*u + 5 + 4, -b*u + 3*f = 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 50 = 4*p, p + 3*v = -2*v + 22. What is the remainder when (-264)\/(-77)*(8 - 1) is divided by -3*((-40)\/p - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(384)*1*-3 + sqrt(384)*-2*-2 + sqrt(384))\/(((sqrt(96)*2)\/sqrt(2) - sqrt(48))\/sqrt(4)))**2.\nAnswer: 48*sqrt(2) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/96 and -143\/30?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9 - -24. Suppose -4*r = -4*h + 76, -2*r = -h + 5 + n. What is the remainder when 69 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**3 - 8*o**2 - 15*o + 3. Let f(a) = a. Let w(z) = 6*f(z) + p(z). Calculate the remainder when 7 is divided by w(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -517 + 518. Let d(n) = 605*n**2 - 12*n + 11. Does 7 divide d(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 + 0. Let n(q) = -q**3 + 6*q**2 - 5*q + 2. Let k be n(u). Solve 0*j**4 - j**4 + 3*j**k - 2*j**4 = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-30)\/25)\/6)\/(28\/(-350)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 135 is divided by (24\/1)\/(57\/38).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 + 3 + 718\/(-312). Let s = -2\/39 - n. Which is the closest to -2\/3?  (a) 0.4  (b) s  (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2043, 2027, 1987, 1911, 1787?\n\"Answer: -2*g**3 - 2*g + 2047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -212*l - 6. Let s(a) = -106*a - 3. Give 3*k(h) - 5*s(h).\nAnswer: -106*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -7504276 (base 9) in base 6?\nAnswer: -222044023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/10 - 7*7\/(-35). Let c = -48.91 - -49. Let i = c - 0.29. What is the nearest to i in 2\/3, 1, j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 189 and 266517.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes before 4:41 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2  (b) -18269  (c) -6  (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 44449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 23*b + 263. Give g(-17).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**2. Let i(w) = -2*w + 44. Calculate z(i(u)).\nAnswer: -4*u**2 + 176*u - 1936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:48 AM and 1:03 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -112, -407, -900, -1591, -2480, -3567?\nAnswer: -4852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25.436 + 0.4.\nAnswer: 25.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1257897097 to the power of 1\/2, to the nearest integer?\nAnswer: 35467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, n: 5}. Give prob of sequence mnnn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/16*(-8)\/(-28)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -181  (c) -0.5  (d) 15  (e) 3.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2102000 (base 3) to base 11.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (0 - (4 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*w - 2016 = 113*w for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 248 = 2*q - 0*q. Suppose -3*o = -5*a + 30, 0 = 5*a + o + 47 - 57. Suppose 0 = a*l - 116 - q. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-39)\/26)\/((-1)\/10). Round p to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 430179 and 627.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 46*w + 18*w - 28*w. Let f(c) = 5*c**2. Determine f(y(v)).\nAnswer: 6480*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -130 - -140 - ((-3)\/18 + 6307\/510).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 336*z + 7 = -339*z + 673*z, 0 = 4*o - z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4136\/1101 or -4?\nAnswer: -4136\/1101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 + -3. Let o = -0.8 - 0. Let w = o + 0.73. Which is the second biggest value?  (a) -2\/11  (b) m  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 13*u**2 + 288*u + 46. Let p be w(-22). Let d be 4\/14 + (-5)\/(-7). Let a be -3*d*1\/(-1). Solve a = -p*t + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2772021564?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 10834069 minus 0.51?\nAnswer: 10834068.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -3*q**2 + 2*q - 4. Let v be 1*((-2 - 0) + -1). Let d(b) = -3*b**2 + 2*b - 3. Determine v*r(g) + 4*d(g).\nAnswer: -3*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -2, 4*n - n + 19 = p. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (8\/30)\/(14\/(-35)). Let y = -62.43 - -67.5. Let x = 0.07 - y. Put x, 0.2, w in descending order.\nAnswer: 0.2, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2513426?\nAnswer: 2, 659, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 240 - 238. Let u(o) be the first derivative of 1\/3*o**6 + 0*o + 0*o**5 + 0*o**b + 0*o**4 + 2 - o**3. Find the third derivative of u(c) wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -211220010 (base 3) to base 5\nAnswer: -1013224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 1424*b**2 - 2552*b + 16. Let p(d) = 475*d**2 - 849*d + 5. Let u(t) = -5*i(t) + 16*p(t). What is the second derivative of u(s) wrt s?\nAnswer: 960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 240, 1114, 3126, 6732, 12388, 20550, 31674, 46216?\n\"Answer: 76*m**3 + 113*m**2 + 3*m + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 3*g - 3. List the prime factors of h(8).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 10, 4, -2\/5, -1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from xddxxdxdxdxd.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3  (b) 12  (c) 13.25  (d) -1\/11  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2567503*f - 1728173 wrt f.\nAnswer: -2567503","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 132 and 88535964?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -219*c - 218*c - 224*c + 1641*c - 985*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2161019.\nAnswer: 7, 73, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2174606*p - 1869201 with respect to p.\nAnswer: -2174606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-4)*(-96)\/(-60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + -203?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -3*n**2. Let v(h) = h**2. Let x(z) = l(z) + 6*v(z). Let s(b) = b**3 - 7*b**2 + b - 2. Let c be s(7). Let i(k) = -c + k + 5. What is i(x(j))?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 2 + 6 = 0. Let o be (-6 + 20\/4 - -4) + 2. Sort o, -5, k in ascending order.\nAnswer: -5, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41*11.\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 2*u - 3. Let n(y) = -y - 1. Let f(c) = 4*c + 5. Let v(d) = -2*f(d) - 9*n(d). Let i(q) = -4*h(q) + 11*v(q). Is i(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -4*p - 7. Calculate k(9).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eepepeeppepeeeoepep. Give prob of sequence eep.\nAnswer: 385\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-70)*(-3 + -3) - ((-41856)\/(-320) - 130).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (168\/(-3024))\/(-2*(-1)\/3)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 218\/6 + (-5 - (-70)\/15). Let z = 10 - v. What is the common denominator of 4\/(-8) - 0 - z\/(-8) and 61\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + 2.8. Let k = -9.154 - -9.154. Put 5, y, k in descending order.\nAnswer: 5, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**4 - p**4 + 4*p**4)*(p + 2*p - p) - p**5 - 2*p**4 + 2*p**4 + p**3 + p**5 - p**3 + p + 5*p + 46*p**5 - 5*p.\nAnswer: 48*p**5 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6.6 + 7. What is the third smallest value in y, -1\/6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 7*h**3 - 3*h**2 - 9*h + 9. Let u(q) = -4*q**3 + q**2 + 5*q - 5. Let s(z) = -5*u(z) - 3*w(z). Is 6 a factor of s(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -43.2904 rounded to 1 decimal place?\nAnswer: -43.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 + 2*p + 4. Suppose 0 = z - 6. Suppose 11*l = 13*l + z. Determine v(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -2*v + 6*v - 100, 5*v = -3*d + 122. What is the common denominator of 19\/54 and 5\/27*v + -3?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 15 = 3*t. Let w = 15 - 11. Sort w, 3, t in decreasing order.\nAnswer: t, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(4*(sqrt(11) + 0) + 0)*-2.\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**3 + 2*u**2 + 4*u - 3. Suppose -2*p - 4*l + 2 = -4*p, 2*l + 11 = 5*p. Determine i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.5, -36, 83, -1\/9, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 575659 is divided by 730?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.42  (b) 37  (c) 5  (d) 6  (e) -3  (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 111*y - 209 - 72*y + 209 - 54*y.\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (49\/(-21))\/(1\/60*25\/(-360)). What is the greatest common divisor of 28 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85*g - 178*g - 819702 = 0. Round g to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 k when three letters picked without replacement from {s: 15, k: 5}.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14 - 16. Let o be (2\/(-4))\/(r\/312). Suppose -5*b = -g - 0*g - o, -b = 5*g. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4705611481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 35 - 22. What is the third derivative of -3*p**3 - 9*p**3 - 6*p**3 + h*p**3 - 4*p**2 wrt p?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 9 = -t, 0*t = t + 2*u. Let w(b) = 3*b - 11. Let m be w(5). Calculate the greatest common factor of m and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = k - 0*v - 13, -4*v - 11 = 5*k. Let o(j) = -74*j - 372. Let b be o(-5). Put b, 4, k in ascending order.\nAnswer: b, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3530*-6071\nAnswer: -21430630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18 + 19. Let a(k) = 17*k**3 - k. Calculate the least common multiple of a(v) and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 259791635 is divided by 2423.\nAnswer: 2421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 + 14. Let n = c - 5. Suppose -2 = -2*o - 4*z, -z - 24 = -n*o - 4*z. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 123836 a multiple of 657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2084 is divided by 39.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 907.04 decades in centuries?\nAnswer: 90.704","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**2 + 7*y + 8. What is the remainder when 51 is divided by i(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6410350 and 4100?\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 2*b = -4, 4*z - b + 11 = 7*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 74 - 70. Solve v - 4*p - 2 = 0, p - k*p = -4*v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22 (base 10) to base 6.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -2*b - 2. Let g be r(-3). Suppose 4*y + 5*j - 2 = 0, -y = -3*y + 2*j + 10. Suppose -g = -p - y. What is the remainder when p is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 6, -2\/3, -3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2211502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**0*y*y)\/y*y)**(6\/13)\/(y*y**6*y**(2\/7)) assuming y is positive.\nAnswer: y**(-579\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -900003*r**3 - 8*r**2 - 6*r - 4. Let m be l(-2). Round m to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -5, 171 in descending order.\nAnswer: 171, 13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -3*x + 62. What is the units digit of v(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = 3*o - 2*x - 818, 2*x - 279 = -o. What is the remainder when 5414 is divided by o?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3*((-30)\/(-120))\/(6\/(-8)). Is -2\/6541 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -50*o - 2. Let c be n(-3). Suppose 4*z = c - 20. Suppose -223*g + 16*g - 155*g = -724. What is the greatest common divisor of g and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.4320762 grams?\nAnswer: 432076.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -13 - 10233301141?\nAnswer: -10233301204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 7 = -17. Calculate the remainder when 23 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -191 or -8915\/47?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j - 49. Let o be z(-22). Let n = -311\/20 + 74\/5. Let k be (-11)\/4 - (-8)\/(-32). Which is the second biggest value?  (a) o  (b) n  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3787137795927 + 2.\nAnswer: -3787137795925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -62 - -69. Solve -9*c = -v*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 196 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13\/60 + -7\/15. Let h = 0.1 - 0.11. Let w = -0.39 + h. Which is the closest to d?  (a) -2  (b) -1  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9197 divided by -55799.\nAnswer: -9197\/55799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r = 2*n - 24, -33*n - 5*r + 50 = -27*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 59  (b) 0.3  (c) -0.4  (d) -1\/69  (e) 5  (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/343, -2\/5, 0.05, 3\/28 in descending order.\nAnswer: 3\/28, 0.05, 1\/343, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 49, 49, 41, 19, -23, -91, -191?\n\"Answer: -g**3 + 2*g**2 + g + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6154583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-16)\/40 + 656\/(-10). Is (-1)\/2*y + -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -105281\/291 equal to -362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2\/5, 0.08287, 97\/4?\nAnswer: 0.08287","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*b = 2*b - 117. Suppose z + b = 11. Sort z, 1, 1\/4 in ascending order.\nAnswer: 1\/4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/2975  (b) 3  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/(2*(-9)\/30). Suppose -4*q - 3*d = -15, -d + x = -5*q + 19. Calculate the highest common factor of q and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 157 divide 483772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b + 2. Let m(o) = -1 + 2 - o - 3 + 2*o. Let r(c) = c**2 + 11*c - 1. Let n be r(-11). Let l be 50\/(-8) + 4\/16 - n. Calculate l*m(p) - 6*x(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2451, 4, 2, -4 in decreasing order.\nAnswer: 4, 2, -4, -5, -2451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -3*j**3 + 2*j**2 + 3*j + 2. Let a be t(-1). Suppose 12 = -a*n - 0. Let d(z) = -z**2 + 0*z**3 + 4*z**2 + z**3 - 4*z + 6*z. What is d(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -76*h - 2. Let v(j) be the first derivative of j**2\/2 - 20. Calculate a(v(f)).\nAnswer: -76*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 7675373080 rounded to the nearest one million?\nAnswer: 7675000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(36\/(-16)))\/(36\/27).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 3*a + 4, 5*a - 2*c + 5 = -5*c. Suppose -a = 2*p - 8, 5*w + p - 123 = 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 941811701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of 0 + 1\/21*v**7 + 0*v**2 + 0*v**3 - 1\/24*v**4 + 1\/20*v**5 + 7\/60*v**6 - 4*v. Let s(g) = 0. Calculate g.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -125\/85434 and -17\/5357?\nAnswer: 457669938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 5 + 15 = -5*s, 3*n + 8 = -4*s. Let u(q) = q**2 + 6*q + 3. Let t be u(s). Let j = t + 12. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 74872*x**3 + 6*x**2 - 29*x - 5. Let f be y(5). What is f rounded to the nearest one hundred thousand?\nAnswer: 9400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3 + 30*40\/12. Let u = z - 36. Let f = u + -337\/5. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 - 4*m**3 + 2*m**5 + 2*m**4 - 10 + 4 = 0. Calculate m.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -61 + 74. Let a(z) = z**3 - 13*z**2 - 2*z + 29. Let w be a(m). Differentiate 19 + 11 + 7*j**w - 24 with respect to j.\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-1*(sqrt(637) - (sqrt(637) - -5*sqrt(637)*-4)) + (0 + sqrt(637) + 1 - (sqrt(637) + -2 + 2)))**2*3.\nAnswer: -3360*sqrt(13) + 3057612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13 + -6. Let p = 184 - 176. Let y = p - j. What is the nearest to y in -5, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uvuuuuuuuvvuuuvuuuu.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**2 - 9*t + 4. Suppose -5*l + 5*b + 65 = 0, -2*l - 3*b + 8 = 2. What is the least common multiple of r(l) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 - 0. Suppose 2*d = x*a + 7, 2*d + 4 = 4*a + 8. Let t(b) = 2*b**2 + b. Is 12 a factor of t(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 5*g. Let k(i) be the first derivative of i**2\/2 + i - 3. Let f be k(0). Let m be w(f). Solve -4*u + 2*h = -3*u, -m*u + h = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes before 3:07 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m - 1. Let t be ((-2)\/4)\/(1\/30*-5). Let x(o) = 2*o**2 - 4*o - 3. Give t*c(k) - x(k).\nAnswer: -2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the first derivative of l**4\/4 + 11*l**3\/3 + 31*l**2\/2 + 21*l + 136. Factor x(k).\nAnswer: (k + 1)*(k + 3)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and 0.21?\nAnswer: -1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiiiiiiiqiiiiiiiiii.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(130)*1)\/(1*1*sqrt(10)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -53.26, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -2*y - 4*z, 3*y - 3 = -2*z + 13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2516991793.\nAnswer: 97, 263, 98663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6647277 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -l**6*z - 404*l**4 - 109*l**3*z + 181*l**2*z - l**2 + 136*l*z + 3 wrt l.\nAnswer: -120*l**3*z - 9696*l - 654*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 269, -38, 10, -3 in decreasing order.\nAnswer: 269, 10, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 5*j**5 + 255*j**4 + 955*j**3 + 705*j**2 = 0.\nAnswer: -47, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-183)\/3*(-1)\/1. Differentiate 3*v**3 + 61*v**2 - 2 - i*v**2 with respect to v.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 143 by -2512237.\nAnswer: -11\/193249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3240101 + 3?\nAnswer: 3240104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2*z**3 - 3*z**3 + 3*z**3 - 3*z**2 + 4*z**2 - 3. What are the prime factors of s(3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56601321 to the power of 1\/3, to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -43*u - 177 - 124 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 20*p + 364. Let u be r(-13). Suppose -17*c + u + 270 = 0. Let h = -34 + 78. What is the greatest common factor of c and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 + (-5 - -17 - (-4 - -14))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*b**3\/4 + 495*b**2 + 40185*b.\nAnswer: 5*b*(b + 114)*(b + 282)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -5*w**2 - 31*w + 9. Let m = 192 + -198. Let i be g(m). What is the greatest common divisor of i and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 67 and 1273?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/77, 2, 0.02 in increasing order.\nAnswer: 1\/77, 0.02, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 458*l = 353*l + 1470 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (-8 - -12) - (1 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8933 is divided by 4464.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -132\/7*s**2 + 3*s**3 + 225\/7*s - 54\/7.\nAnswer: 3*(s - 3)**2*(7*s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3715499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 101011101 (base 2) to base 6\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-34)\/(-51))\/((-42)\/(-27))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001293440617 to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19830?\nAnswer: 2, 3, 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.2 + 122.8. Let t = -112 + o. Let c(s) = -s**2 - s - 1. Let q be c(0). Which is smaller: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -708777.51 rounded to the nearest one thousand?\nAnswer: -709000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 206*v + 2*h + 76 = 204*v, -v - 178 = 2*h + 3*h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -6 + -1 + -1 - (-32 - (62 - 109))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 196.825 - 9289221.\nAnswer: -9289024.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (20\/25)\/(2\/5). Let w(j) = -1 + 0*j**c - 5*j + 0 - j**2. Suppose -4*r = 2*t + 14, -3*t + 3 + 0 = 0. Calculate w(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -10599 and -1.15.\nAnswer: -10600.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 4208592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17151 is divided by 3424?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand p**5 - 3*p**5 - 2*p**5 + (22*p + 7*p + 13*p)*(0*p**4 + 4*p**4 - p**4) - p - 2*p**5 - p**5 + 4*p**5.\nAnswer: 123*p**5 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - 22 - -42) + -59.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -1. Let g(q) be the third derivative of 0 - 1\/12*q**4 + q**2 + 0*q + 1\/3*q**3 + 1\/30*q**5. Let b = -2 + 5. What is b*y(k) + g(k)?\nAnswer: 2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6770.\nAnswer: 2, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -3*y + 24. Let x be m(7). Suppose -4*r - u = -918, 3*u = x*r + 2*u - 685. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.5059409125 to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -q, 4*k - 5*q - 1159 = k. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 160 and 16.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**3 - 140*b**2 - 536*b + 1095. Give s(-136).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes before 6:27 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 217917.023 to the nearest ten.\nAnswer: 217920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 3 + 0)*(-7 + 1 - 2)*(3 + 0 - 5)*(-4 + 4 - 3)*(2 + o - 2) to j + w*o and give w.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0*(22\/4)\/(-11). Suppose 2*h - 3*m - 191 = r, m + m - 449 = -5*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1021242 - 4?\nAnswer: -1021250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*c - 312 + 26. Calculate the remainder when 59 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140 = 28*n - 24*n. Calculate the remainder when 68 is divided by n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - 2743\/247 - (-1294)\/19?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 1. Let o(p) = 4*p - 6. Let h(r) = o(r) + 8*v(r). Let f be h(2). Does 3 divide (-2 + 4 - f)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 7 + 3*c)*(3 + 0 - 2)*(-4*c - c - c).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 141*n + 3 - 142*n + 6. Let m be z(6). Sort m, -5, -4 in descending order.\nAnswer: m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express d + 0*d + d + (-3*d - 3*d + 4*d)*(-1 - 11 + 6) + (-5 + 4 + 0)*(2*d + 2*d - 2*d) - 4*d + 0*d + 3*d as v + u*d and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gwwjhuuwwgjgghggh. What is prob of sequence huwh?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 - 426?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 9 = 3*g, -r - 230*g = -224*g - 36 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(0 + sqrt(17)) - (sqrt(2448) + 0)) + -1*(sqrt(272) + -2*sqrt(272))**2.\nAnswer: -272 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1096657, 2193307, 3289953, 4386595?\n\"Answer: -2*v**2 + 1096656*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -4, 54641.\nAnswer: -12, -4, 54641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z - 4*z + 10. Let a(q) = q**3 + 8*q**2 + 6*q - 10. Let p be a(-7). Let r be (1 - (-1 - p))*(-2)\/z. Are 7 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 + -1abc9a?\nAnswer: -1abc9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 divided by -157.\nAnswer: -6\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(2\/113))**(-38) assuming x is positive.\nAnswer: x**(-76\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s - 2. Let t = 11 - 9. Suppose -5*u - 5*m = -0*m - 60, -2 = t*m. Let f be q(u). What is the greatest common factor of 77 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -2*q - 3. Let z(u) = -u**3 - 6*u**2 + 25*u + 122. Let c be z(-7). Let g be (-26 + 28)*10\/c. Determine o(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -9*w - 191. Determine m(-17).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:26 PM and 12:21 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, -86, 13, 2, 0 in descending order.\nAnswer: 13, 3, 2, 1, 0, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1142, 1135, 1124, 1109?\n\"Answer: -2*z**2 - z + 1145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 137*d + 1321. What is p(-10)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**2 - 22*j + 52. Determine a(-22).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*q + 68231 = 9*q + 67479 for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 (base 11) in base 8?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 + 8*o**2 - 4*o + 12. What is the remainder when n(-8) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 40*a*c + 4094*a + 12*c + 757 wrt a?\nAnswer: 40*c + 4094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*c - 35*c = -28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -35, -39, -43, -47, -51?\n\"Answer: -4*n - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.609475309 rounded to 2 decimal places?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1168*a - 185*a - 73128 = -522*a for a.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55 = 2*c - 4*u - 77, -5*u = 5*c - 255. Calculate the lowest common multiple of c and 70.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -6552, -16629, -33426, -56937, -87156, -124077, -167694, -218001?\n\"Answer: b**3 - 3366*b**2 + 14*b - 3201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 8 + 16 + 1 + -9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 638109 * -1\nAnswer: -638109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 3 + 9 = 0. Find the second derivative of a - 11 - 21 + 26*a**2 - x - 60*a**2 wrt a.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11322261 and 1243?\nAnswer: 124544871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2053874195 to the power of 1\/2, to the nearest integer?\nAnswer: 45320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 12 = -4*r. Let p be 1\/(-4) - r\/4. Let x = 1071370\/3 + -357124. What is the nearest to x in p, 7\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2616652 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 307 = -2*v, -224 - 249 = -3*v + 4*l. What is the remainder when v is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 19*x**2 + 36107*x + 36108. Calculate o(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-22386)\/42770 - 4\/(-5) and 73\/106?\nAnswer: 4982","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i + 4*i = -5*p + 12, -3*i - 7 = -2*p. Solve -3*w + 0*w + p*s + 1 = 0, -19 = 3*w + 2*s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (-27 - (-26 + -16))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-20) + 2\/(-20)*5.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 6*l - 2327. Let m(v) = -14*v + 4667. Calculate -9*a(y) - 4*m(y).\nAnswer: 2*y + 2275","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 84\/12 - 198\/24. What is the nearest to n in -3, -1\/3, 2\/3, -0.15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 218*t - 15. Give b(-1).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/5  (b) -39.8  (c) 5  (d) -2  (e) -318\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of c**4*f*v + 3*c**4*v - 2*c**3*f - c**3*v + 19*c**2*v - 3*c*f*v + f*v wrt c.\nAnswer: 24*c*f*v + 72*c*v - 12*f - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**2 - 21*n - 35. Let k be b(-16). Calculate the greatest common divisor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m**2 - 13*m + 20*m - 7*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(3*(-5)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2 + 24*x + 29. Give d(25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**2 + 8*r + 4. Let m be s(-7). Let u be (2\/(-6))\/(m\/63). Let y(d) = -d**2 + 9*d - 9. What is the units digit of y(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2130 + -70170. What is d rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29750857.\nAnswer: 757, 39301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**2 + 526*j - 1560.\nAnswer: -2*(j - 260)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*r + 5*v + 21780 = -14*r, -2*r + v + 8714 = 0. List the prime factors of r.\nAnswer: 2, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -260*h**4 + 3*h**3 + 637*h**2 wrt h.\nAnswer: -6240*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -12904, -12909, -12914, -12919?\n\"Answer: -5*u - 12899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*r - 13*r - 3, j = -4*r + 4990. List the prime factors of j.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -283*b**3*n + 3*b**2*n**3 - b*n**3 - n**3 - 81*n**2 wrt b.\nAnswer: -849*b**2*n + 6*b*n**3 - n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 837337651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.04389*-38.7.\nAnswer: -1.698543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 29 - (40 - 33) - (-9 - -1).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 286 + -284. Let k(b) = b + 28. Let n be k(-23). Put -6, d, n, 3 in increasing order.\nAnswer: -6, d, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2 + 147*r - 298.\nAnswer: (r - 2)*(r + 149)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 PM and 6:07 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2510 is divided by 2378?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -34*y - 37. Let a(o) = 14*o + 19. Let f(w) = -5*a(w) - 2*r(w). Give f(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3340 is divided by 119?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 2  (c) 2\/11  (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11722139.\nAnswer: 11, 13, 81973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 900800783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2128 divided by -304.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - 5 - 87 = 29*s, 41*b + 38*b - 83*b + 5*s + 44 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 2*a + 1. Let s(w) = -w - 1. Let x be 2\/(2\/(4 + -2)). Let n(h) = -45*h + 50*h - 5 - x. Let t be n(2). Calculate t*i(m) + 5*s(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y = -34*y - 208. Let q(d) = 8*d + 278. What is the hundreds digit of q(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 8*o - 4. Calculate m(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*q + 4*w + 21 = -46, 2*q - 2 = 4*w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 35\/(-15) - 4\/6. Let j = -2.836 - 1.164. What is the fourth biggest value in a, j, 7, 4\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*b - 3*b - 2*b)*(-10 + 10 + 1)*(1 + 1 - 3)*(104 + 118 - 40) in the form a + x*b and give x.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, o: 1, b: 7, l: 1, v: 5}. What is prob of sequence bzb?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 + 18*p**2 - 3*p + 4. Determine c(18).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, -2, 8\/19, 0.1?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121 = -3*v - 14*g, -733*v + 737*v = 5*g - 185 for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*v**4 - 84227*v**3 - 19527*v - 6 wrt v.\nAnswer: -36*v**2 - 505362*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from vvfvvvfvfvfvvvfvfvv.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 69 = -5*f + 12, -3*k - 2*f = 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2517879587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r = -3*r - 6. Suppose 5*h - 4*h + 2*u - 18 = 0, 4*u - 12 = h. Suppose 7 = 3*x - h. Put x, r, -7 in increasing order.\nAnswer: -7, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2627 a factor of 146830911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -411977, -412099, -412217, -412331?\nAnswer: -412441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 117 and 261.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of a*b**2 + 5*a*b - 2*a*j + 2218*b**2*j + 326*j wrt b.\nAnswer: 2*a + 4436*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -2*g - 43, 2*a - 3*a + 3*g + 5 = 0. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the third derivative of -u**4\/24 + 3*u**3\/2 - 3*u**2. Give m(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (16 + 2)\/((-18)\/(-12)). Suppose 15*a = -3*l + 13*a + 7, 5*l = -4*a + 9. Calculate the remainder when (-6)\/(-9) - (-220)\/f is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61798818 is divided by 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 416 and 597961?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -37.6971 to one decimal place.\nAnswer: -37.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -2*w**2 - 2*w + 64. Let g be l(5). Solve 5*x - 9*x - g = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 233326879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 693 + -692.7. Which is bigger: 137 or o?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.15 + 0.45. Let k = 0.45 + -1.07. Let g = k - -0.02. What is the third smallest value in c, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-5*sqrt(880))\/sqrt(11)*3)**2 - (1 + -1 + sqrt(80) + 3 + sqrt(80) + (sqrt(80) - (sqrt(80) + sqrt(80)*2)) + sqrt(80) + -5)**2.\nAnswer: 16*sqrt(5) + 449916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 576*y. Let l(d) = 438646*d**2. What is l(j(s))?\nAnswer: 145532215296*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p + 0 + 0)*(-2 + 3 - 2) - 2*p + 3*p + 2*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 - 39 - 9*g**2 + 5*g**2 + 30.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 25 = -147. What is the remainder when (-1)\/(87\/q + 2) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 + 8. Let z = 198.2 + -198. Put z, p, 5 in descending order.\nAnswer: 5, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 167\/42 and 121\/1176?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -451 greater than -2257\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**3 - 9*l**2 - 2*l - 15. What is p(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -6324 + 184368?\nAnswer: 178044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 - 152*r - 42. Let o be q(-117). Solve o = -8*t + 4037 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 w, 1 h, and 1 z when four letters picked without replacement from {w: 2, y: 1, e: 2, z: 2, n: 1, h: 1}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**3 - b**2 + 2*b - 1. Suppose 0 = -3*t + 3. Give s(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*b - 660 + 660 to d*b + k and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51a6 (base 11) to base 13.\nAnswer: 31a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 155*x - 229*x - 14 - 423*x - 280*x + 12.\nAnswer: -777*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 25219778 times 0.03\nAnswer: 756593.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7029 is divided by 1034.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*f**2 - 8*f**2 - 912 + 2*f**2 + 2*f - 3*f - 2*f.\nAnswer: -2*f**2 - 3*f - 912","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -4*r**2 + 55683*r - 334008. Determine a(6).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 12 = -8*o. Suppose -2*s - 4*m = 6, -5*s + 97 = 4*m + 88. Put o, 20, s in increasing order.\nAnswer: o, s, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -362*x**4 - 3*x**3 + 33*x**2 - 18 wrt x?\nAnswer: -8688*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -143*g**2 + 10*g + 129. Let l be 20\/24*6\/(-1). Let z(v) = 2*v - 2. Let d(p) = l*z(p) + h(p). What is the first derivative of d(t) wrt t?\nAnswer: -286*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**3 + 17*b**2 - 2*b - 34. Let n be v(-17). Solve 2*f + 1 - 5 = n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of -q**4\/2 - 5*q**3\/3 - 13*q**2\/2 + 13*q + 171. Calculate the remainder when o(-5) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4*3\/12*10. Let m be (64\/k)\/(4\/(-20)). Let i = m + 56. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 - 26*l + 48. Let k be n(24). Suppose 10*j - 2*j - 160 = k. Suppose 0 = 2*o - j - 16. What is the smallest common multiple of 16 and o?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in -2\/17, -6, -0.2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1171614*d**2*r**3 + 3*d**2*r - d**2 + 2301*d*r + d + 59*r**3 + 234*r - 2 wrt r?\nAnswer: -7029684*d**2*r + 354*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 674048770091 plus -0.09?\nAnswer: 674048770090.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -208 + 196 + (2 - 7) - -51\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 424458 divided by 6.\nAnswer: 70743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000711937 rounded to five decimal places?\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1567 is divided by 300?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -16844.548?\nAnswer: -16844.548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 296231 and 286?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 87 + 38 = -2*o, 0 = -5*n + 4*o - 85. What are the prime factors of 5934\/5 + n + (-2)\/(-10)?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 39*o. Let t(a) = 2*a**2. What is q(t(c))?\nAnswer: 78*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -48 + -48 + 70 + 58.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kfkkhkkhf.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -293 = -5*o - 2*p, -o + 26 = -4*p - 15. Calculate the highest common factor of 38 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:29 AM and 2:34 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 minus -14957332?\nAnswer: 14957331.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 6, f: 2, k: 1, h: 3}. Give prob of picking 2 x, 1 k, and 1 h.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 73.9 + -73.9. What is the closest to -0.2 in -1\/39, 2\/17, z?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 426, -6, 4, -1, 17, 5, -2.\nAnswer: -6, -2, -1, 4, 5, 17, 426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 15) to base 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1217 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - 20) + (-12 - 4) + -4?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1367 = 33*o - 1461 + 3026 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 352245218?\nAnswer: 2, 13, 19, 97, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k = -5*k - 18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-230)\/161*((-2)\/1)\/10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-4)\/(-2))\/2 - -49. Let i = 54 - c. What is the common denominator of i + (207\/(-12) - 2) and 23\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 730 and 29844736?\nAnswer: 149223680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 504 a factor of 49922712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**2 - 5*c. Let x be w(-4). Let d = -53 + 56. Solve -d*t + 1 + 4 = -4*l, x*t - 17 = -5*l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1320 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes after 4:42 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1\/715 - -127\/2145. Which is the nearest to 1?  (a) 5  (b) s  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -1. Let i(a) = -a**2 - 7*a + 3. Let s(v) = v**2 + 8*v - 2. Let m(q) = 6*i(q) + 5*s(q). What is -m(d) - 6*u(d)?\nAnswer: d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:47 AM and 5:16 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -33*u**3 - u**2 + 1. Calculate f(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 5*a = 11 + 10, 5*a + 63 = 4*q. Let s be 9\/6*(136\/q - 0). Let h(j) = -j + 21. Let u be h(s). Solve u*z + 0*z + 16 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o\/(o\/(o\/(((o\/o**(-2\/7))\/o)\/o)*o))))**(-27)*o**14\/o**(-2\/11) assuming o is positive.\nAnswer: o**(4656\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddnq when four letters picked without replacement from {d: 10, n: 1, q: 2, o: 1}?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**3 - 1 + 1)*(-9 - 1 + 2) + (-2*s**3 + 5*s**3 + 0*s**3)*(-2 - 2 + 2).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**2 + 2*f. Let r be u(2). Suppose r = -3*h + 10 + 8. Suppose 2*k = 3*d - 11, -2*d + 4*d - 2*k - h = 0. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -2*i**3 + 2*i**2 - 2*i - 3. Let f = -561 + 560. Determine d(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**3 + 15*h**2 + 15*h + 14. Let s be k(-14). Let l be 1*-5 - (-4)\/(-4). Let c = -4 - l. Solve 0 - 8 = -4*v - c*f, s = -f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the third derivative of -19*q**8\/24 + 127*q**5\/60 - 117*q**2. What is the third derivative of z(a) wrt a?\nAnswer: -15960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 33.005 + -0.005. Let i = 28 - z. Let m = i + 5. Which is greater: -3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10066770 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1117.01 rounded to the nearest 10?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 60 and 35844?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -10*t + 27. Suppose -5*o = -3*x - 14, -30 + 2 = x - 5*o. Give s(x).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/21 + (-288)\/(-28). Solve -2*m = -y + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 306271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 0 + 1)*(0*a**4 + 2*a**4 - a**4) + 2*a**4 + 2*a - 2*a)*(0 + 0 - 2)*(-6685*a + 6659*a + 18 + 4).\nAnswer: 52*a**5 - 44*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -32841 + 68481. Does 20 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 48984 + -48984.3. Let p = -5 + 8. Suppose 0 = p*r - r. What is the nearest to r in b, -4, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ullu. Give prob of sequence lu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 36 and 1062.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*v + 5*v + 6 = -m, 2*v = -7*m + 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*m**4 + 2*m**3 - 3*m**2 - 1 + 30*m**4 - 20*m**4 to z*m + q*m**4 + v + f*m**2 + s*m**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 77 - 45. Let h(y) = y**3 - y. Let s be h(-1). Suppose s = -2*b, -2*b - 55 = -5*d - 6*b. What is the remainder when w is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 255*c + 514. What is r(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 + -1 + 3 + -5. Let w(d) = d**3 + 3*d**2 - 3*d - 6. Let g be w(b). What is the first derivative of s + 2*s - 10 + 7*s**2 - g*s wrt s?\nAnswer: 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80914859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3 and -1.555.\nAnswer: -4.555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**3 - 3996*g**2 - 242*g + 483516.\nAnswer: 2*(g - 1998)*(g - 11)*(g + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1599648, -3199327, -4799006, -6398685?\nAnswer: -7998364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + -4 - ((-6 - -18) + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 707 - 714.18. Let o = -0.18 - x. Let i = o - 6.6. Which is the third biggest value?  (a) i  (b) -1\/4  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, m: 2, l: 11}. Give prob of sequence ll.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 14 = 5*g. Put -5, g, 5 in ascending order.\nAnswer: -5, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - x - 9 = 2*l, -2*x = 2*l + 2. Solve -l*h - 38 = 4*v - 14, 0 = 5*h + v + 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 490355 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**0*g)**(3\/50)*(g**1)**(-28\/5))\/((((g*g**4\/g)\/g)\/g*g)\/g*g**3*g**(1\/4)*(g*g**1)\/g) assuming g is positive.\nAnswer: g**(-1179\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1269548201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.89 - -0.942. Let u = -0.018 - f. Let r be (-1)\/35 - (-6)\/(-15). Which is the smallest value?  (a) 0.1  (b) r  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2942053412 to the power of 1\/3, to the nearest integer?\nAnswer: 1433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 73549935*m**2 + 108939179*m wrt m.\nAnswer: 147099870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -489*n + 2151 = -943*n + 335 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01019249 to 5 dps.\nAnswer: -0.01019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 320605 and 1332?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*m = -258449 - 3564463. Let p = m - 84163. What is p rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (6 - -1) + 0 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -87  (b) -3  (c) 3  (d) 5  (e) -24\/5  (f) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 340384767 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the second derivative of -52 + 0*l**2 + 0*l**3 + 0*l**5 + 2*l + 58\/15*l**6 + 34\/3*l**4. Find the third derivative of t(a) wrt a.\nAnswer: 2784*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 248613\/8 or 31078?\nAnswer: 31078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -518*o + 513*o - 191*o**2 - 349*o**2. Suppose 2*q - 4*f = -f - 1, 3*q + 2 = 4*f. Let w be k(q). What is w rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + 1bee?\nAnswer: 1bea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26, -99, -214, -377, -594, -871, -1214?\nAnswer: -1629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1015 (base 14) to base 13.\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1374 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*w = 42 + 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19 - 19 - 2*j to o*j + s and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2976 and 26556?\nAnswer: 6585888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 495*k**3 - 660*k**2 - 330*k - 330. Let a(c) = -c**3 + 2*c**2 + c + 1. Determine -330*a(h) - l(h).\nAnswer: -165*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1101 + 1100.917. What is the third smallest value in 0.2, z, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4206803819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1199*d**2 - 1737802*d + 1737802*d + 0 + 2*d**2 + 0 + 0 + 2*d**2 + 0 + (3*d - 3*d - d**2)*(-4 + 3 + 2).\nAnswer: 1202*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3510*s - 3554*s + 7154*s + 6750 = 0 for s.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2*f + 0)*(-4*f**3 + 4*f**3 + 5*f**3) + (-1 + 1 - 2*f)*(-3*f**3 + 4*f**3 - 3*f**3) + 3*f**4 + 2*f**4 - 3*f**4.\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(121) - (1*sqrt(121) - sqrt(121))*3 - 3*sqrt(121)*-1))\/(-6*(sqrt(88)\/sqrt(72) + sqrt(33)\/sqrt(3)*5)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16763 + 98913 = 1643*y for y.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1149004?\nAnswer: 2, 287251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 4*c**2 + 19*c + 6. Let v(b) = -12*b**2 - 58*b - 17. Determine -17*r(i) - 6*v(i).\nAnswer: 4*i**2 + 25*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.1 - 0.1. Let t = -0.953 - 0.047. Put t, b, 0 in descending order.\nAnswer: b, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86 a factor of 15394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 3*q + 17 = -q, 0 = -5*w - 5*q - 15. Let o(j) = 4*j + 3. Let k be o(-6). Find the common denominator of 107\/22 and (w\/k)\/(8\/12).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1958306121 to the nearest integer?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 4394.396 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1811836*q**3 + 790346*q**2 wrt q.\nAnswer: -10871016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 5*x + 45, -6*x + 29 = -4*a - 3*x. Let l(i) = -i**3 - 6*i**2 - 5*i - 15. Calculate the remainder when l(a) is divided by 84.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 329, 319, 311, 305, 301, 299?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 8, 2\/11, -27\/4?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*j = -54*j - 2. Suppose 5*u - j*w + 0*w = 810, 0 = -5*u + w + 810. Is u a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5814783*h**4 - h**2 + 4569*h - 6.\nAnswer: 139554792*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 41, 49, 63, 83, 109, 141?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of l**4\/12 - 5*l**3\/6 + l**2 + 14*l. What is p(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**2 - 14*u - 12. Let s be -4 - 2*(3 - 2). Let m = -15 - s. Does 13 divide i(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -5*h. Let t = 1 + -13. Let g = t + 23. Calculate the remainder when y(-4) is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 23326 + -46643\/2. What is the nearest to -2\/19 in p, 0, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2*i**2 + 8*i - 5. Let c = 66 + -67. Let z(f) = f - 1. Calculate c*r(p) + 4*z(p).\nAnswer: -2*p**2 - 4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 22767676 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1073714 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) 0.2  (c) -4\/37  (d) -2  (e) -37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 72877, 145756, 218635, 291514?\nAnswer: 364393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 21\/4 of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2004*o + 5928 = 522*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -91.892758 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 217*i**3 - 15*i**2 + 6 wrt i.\nAnswer: 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/(-33)*-3 + 13 + (-283578)\/21648 and -77\/78.\nAnswer: 12792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -30 - -29.5. Which is the closest to -2\/3?  (a) 5  (b) x  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*m - 4427*m**2 + 4430*m**2 + 6*m + 15.\nAnswer: 3*m**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3422578?\nAnswer: 2, 1711289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-4) - (-3)\/(-2). Let h = -3 + -1. Let d = 59 - 887\/15. Which is the nearest to l?  (a) h  (b) d  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 65258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**2 + 449180*n - 898340.\nAnswer: -5*(n - 89834)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 23414711999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 190 divide 5662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 62\nAnswer: 5\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 25 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -248 (base 9) in base 6?\nAnswer: -542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 6 = -2*v. Let a(s) = 4*s**2 - 3*s + 2. Calculate the remainder when a(v) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -58737036\/52563907 - -3064\/16309. Let z = y + 6\/293. What is the common denominator of z and (-36)\/(-162)*((-407)\/4 - -2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 151302, 151310, 151318, 151326, 151334?\n\"Answer: 8*f + 151294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1805 - 5403 + 1798 + 94*s + 1800 + s**2.\nAnswer: s**2 + 94*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 + 6)*(-v + 7*v - v) + 69*v + 461 - 461 to h*v + a and give h.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -3*v. Let k(c) = -147 + 147 - 11*c. What is k(l(b))?\nAnswer: 33*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j + 3*j - 40. Let u(b) = -10*b - 32. Let w(y) = -2*y + 1. Let t(h) = -u(h) + 2*w(h). Let q be t(-5). Solve 3*k + j = -q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17816197 to the nearest integer?\nAnswer: 4221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 5*i = -2*h + 13, 5*h = 2*i - 4. Let k be (1025\/h)\/(1\/(-24)). Round k to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -585 + 607. Let i = j - 26. What is the nearest to -2\/5 in -0.4, 0.5, i, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*u - 4*u - 374. What is the highest common divisor of u and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -9, -479 in descending order.\nAnswer: -4, -9, -479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u + 8, -j + 3*u + 863 - 208 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 69839.33 millimeters?\nAnswer: 0.06983933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7.826 + 7.95. Let i = 0.176 + u. Which is the nearest to -1\/3?  (a) 3  (b) -4\/3  (c) i  (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.9  (b) -11  (c) 4  (d) -2\/7  (e) -170  (f) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -130.96 + 131. Put h, -3, -0.3 in increasing order.\nAnswer: -3, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 65 - 35. Calculate the greatest common divisor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*j**2 - 10*j**2 + 13*j**2 - 6*j**2.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 = 14*g - 5. Let l(t) = -2*t**2 - 4*t + 2. Let z(d) be the second derivative of d**4\/4 + d**3 - 3*d**2\/2 + 3*d. Calculate g*z(s) + 8*l(s).\nAnswer: -s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -21568 in 1, 3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (-14 - (-4 + 8 - 24)) + 87 - 8.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in 1, -13, 0.1, -44, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -161 or 1104.91?\nAnswer: 1104.91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of -1\/12*p**4 + 0*p - 12 + 5*p**2 + 1\/60*p**5 + 1\/6*p**3. Let b(t) be the second derivative of v(t). Let b(r) = 0. What is r?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 + 2)\/(6\/(-18)). Let v be -3 + h + 18\/3. Solve 3*m = 15 - v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-75)\/(-13 - -8) + 46009?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1916 and 8373878?\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**3 - 8*l**2 + 12*l - 11. Suppose 22 = 2*h + 6. Does 17 divide d(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -5*g**2 + g + 1. Let m(b) = 5*b**2 - b - 1. Give -6*k(a) - 5*m(a).\nAnswer: 5*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -199488 divided by -49872.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16 - 10. Let o = 108 + -99. Suppose -o*n + 11*n = 3*j + 11, 2*n = -4*j + 4. Calculate the greatest common divisor of a and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/(-3) - (-1441436)\/(-424932).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 2, l: 4, r: 1, k: 3}. What is prob of sequence lklr?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 11 - 5 + b - b**2 + 16*b**2 + 1. Let p = -218 + 222. Is h(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from wweewe.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -44 by 66.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000096149 rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 8*p - 2. Let j(d) be the first derivative of -7*d**3\/6 + d**2 - 4*d + 7. Let c(a) be the first derivative of j(a). Give -7*c(r) - 6*m(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 141 (base 13) to base 10\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/(q**(-3\/8)*q)*q*q**(1\/3)*(q**(1\/4))**(-42)*((q**(-4)\/q)**(-29\/4))**(-1\/40) assuming q is positive.\nAnswer: q**(-931\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3865\/9798 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1415?\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (-5 - -18) - (104 - 121).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 40*d - 7. Calculate the remainder when k(2) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of r*x**3 + 19*r*x - 102*r - 12*x**4 + x + 30 wrt x?\nAnswer: 3*r*x**2 + 19*r - 48*x**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -4*w + 861, -5*w + w = 12. Let c = 486 - p. Let y = -117 + c. List the prime factors of y.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18.6, -2\/11, 7, 2\/7, 101.7.\nAnswer: -2\/11, 2\/7, 7, 18.6, 101.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 5, f: 3, l: 1, e: 1, k: 5, y: 3}. Give prob of sequence fl.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 387898073*g**2 + 6*g - 26598506?\nAnswer: 775796146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 81*r**3 - 33*r**2 - 33. Let j(v) = -99*v + 600. Let w be j(6). Let g(s) = 3 + 83*s**3 - 46*s**3 - 42*s**3 - 1 + 2*s**2. Calculate w*f(h) + 99*g(h).\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = j + 6, -4*r = 5*j - 0*r. What is the remainder when 31 is divided by 46\/j + (-4)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zvvvzvvvvoovzvoz. What is prob of picking 1 v and 1 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-5 - (119 + -3)) + 2)*(-6)\/(-1692) and 71\/3.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -4*a**3 - 13*a**2 - 9*a + 11. Let y = 84 + -90. Let w(i) = -2*i**3 - 7*i**2 - 5*i + 6. Calculate y*q(r) + 11*w(r).\nAnswer: 2*r**3 + r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15*n**2 + 0*n**6 - 8*n**6 + 25*n**2 wrt n.\nAnswer: -960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6568 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dvdyydvdd. Give prob of sequence vvd.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 24\/5*j + 12\/5*j**3 - 26\/5*j**2 - 2\/5*j**4 - 8\/5.\nAnswer: -2*(j - 2)**2*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 4*b + 23 = 0, 124901*k - 124902*k + 3*b + 7 - 3 + 12 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20, 19, 18, 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 478855 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 7\/8 of a day?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6214*o**2 + 0*o + o - o - 5063*o**2 to the form b*o**2 + u + c*o and give b.\nAnswer: 1151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 788018 and 33737.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 + 10*x**2 - 3*x + 32. Let w be t(10). Sort w, -1, -4, -5 in decreasing order.\nAnswer: w, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 475217 and 282?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.01 * 1396294\nAnswer: -13962.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s. Let o be 8 + -1 + 643 - 4\/1. Let u = 1534 - o. Let g(c) = 888*c - 74*c**2 - u*c. Give g(t(q)).\nAnswer: -74*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.233 or 0.1?\nAnswer: 0.233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 32531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 133828524 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*f = 5*f - 14. Sort -5, 1, f, -3 in descending order.\nAnswer: 1, f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 1)*(g - 4*g + 2*g) + 0*g - 4*g + 5*g + (5*g - 2*g - 2*g)*(1 - 2 - 1)*(-1 + 2 + 1).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + 199?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1232, -2748, -1262, 6508, 23844?\n\"Answer: 547*a**3 - 1781*a**2 - 2*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.65?  (a) 1431279  (b) 3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*v = -2*v + 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**4\/9 + 137348*s**3 + 191000317898*s**2\/9 - 84890678360*s + 764021049800\/9.\nAnswer: 2*(s - 2)**2*(s + 309035)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -32010 (base 4) to base 12\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 14 = 4. What is the tens digit of g\/4 + 425\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**3 - 5*t**2 + 5. Let l be v(-5). Let b(h) be the second derivative of h**3\/6 - 9*h**2\/2 + 5*h. Let c be b(9). Solve -n = -c*n - l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q - 8. Let v(m) = 12*m - 64. Give -40*r(u) + 5*v(u).\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (7\/(-28))\/((-5)\/(-100)). Which is the closest to -3\/5?  (a) -2  (b) 0.4  (c) 0.1  (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-108*s**2 - 261*s**2 + 67*s**2)*(6*s + 4*s - 6*s).\nAnswer: -1208*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -13\/5 at most -77635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d + 11. Let g be n(11). Let x be g + 0 + 2 + 84\/(-63). What is the closest to 1 in -0.1, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -502.6203 and -4820569?\nAnswer: 4820066.3797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of 9089*x**9\/504 - 308*x**5\/15 + x**4\/6 - 8162*x**2. Find the third derivative of s(u) wrt u.\nAnswer: 1090680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.76789g in kilograms?\nAnswer: 0.01476789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 9*a - 7. Suppose i - 8 = -3*v, 0 = i + 3*i + 2*v - 22. Let h(c) = 13*c - 10. Determine i*h(n) - 7*w(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pppupuppp. Give prob of picking 2 u and 2 p.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((390325617\/(-1702))\/1353)\/(3\/(-2)*-1)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 52*y**2 - 2*y - 2. Let t be h(-1). Suppose -p + 0*f - 3*f = -t, 142 = 3*p + 2*f. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - v + 5*v = 9, 5*s - 3*v + 47 = 0. Let z = s + 16. Let u = -2571 + 2661. Calculate the highest common divisor of z and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*j + 0*j - 2*j)*(-1 + 3 + 3) - 32*j - 26*j - j)*(3 - 1 + 1).\nAnswer: -162*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/4, -1\/3, -0.5, 2095, 0.6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(75)*-2)**2 + sqrt(3) - (sqrt(3) - sqrt(3)*2*-6).\nAnswer: -12*sqrt(3) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.903722 months to decades.\nAnswer: 0.01586435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 3*n - 60. Determine l(17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 185*a*v**2*y - 7*a*v**2 + 29*a*v + 4*a*y + 5*a + y - 89 wrt v.\nAnswer: 370*a*v*y - 14*a*v + 29*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 4*r**2 - 5*r - 5. Let u(t) = 4 + 4*t + t - 3*t**2 - t - 3*t + 4*t. Give 4*p(s) + 5*u(s).\nAnswer: s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 446, 1737, 3880, 6881, 10746?\nAnswer: 15481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 13*x**3 - x**2 + 23. Let g(z) = -2*z**3 + z**2 + 1. Let h(o) = g(o) + t(o). Differentiate h(s) wrt s.\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from {b: 2, e: 1, i: 1, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.2 and -458131102.\nAnswer: -458131102.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 29909, 29908, 29907, 29906, 29905?\n\"Answer: -h + 29910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -2*y + 80. Let x be 4\/10 - (-72)\/y. Suppose x*a = 79 + 9. Calculate the remainder when a is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1\/(-27))\/((-73)\/(-438)). Which is the second biggest value?  (a) u  (b) 1\/3  (c) 3\/7  (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 2 r when three letters picked without replacement from {s: 5, q: 2, y: 2, i: 1, r: 2, g: 1}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1238427 or -1238424?\nAnswer: -1238424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 36\/(-9) + (-2 - -1) - 90. Let n(g) = 17*g**3 - 2*g**2 - 2*g + 2. Let q(i) = -798*i**3 + 95*i**2 + 95*i - 95. Determine d*n(r) - 2*q(r).\nAnswer: -19*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 329, 1, 13.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o - 5*n + 51, -o = -3*n - 0*n - 3. Does 10 divide (4\/o)\/((-2)\/(-210))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 2*t**2 - 253*t - 2718. Let j be o(-10). Solve -j*f - 32 = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 36 + -35. Let l be -5 + 4330\/(-36) + f\/(-2). Let m = -126 - l. Which is the nearest to -2\/5?  (a) 4  (b) m  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-7)\/(-1)*-4)\/18)\/(4\/3)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u**5 + 491*u**4 + 54266*u**3 - 1499018*u**2 + 2608293*u + 4161087 = 0. What is u?\nAnswer: -257, -1, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 549650154 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5694701 is divided by 621.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence er when two letters picked without replacement from mrmmrmeirmrirmimime?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 4:12 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 476 divide 798272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-60)\/(-225)*2\/(-4).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 = -3*d + 3*t, 2*d - 62*t + 33*t + 25*t = d + 26 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 35568477877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-2*sqrt(931) + -5 + sqrt(931) + 2 + -2)*-6*-5)**2.\nAnswer: 252000*sqrt(19) + 3441600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -13.962343*-5\nAnswer: 69.811715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -9*p + 110. Let j = -136 + 148. Let w be i(j). Solve -5*y + w*y + 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3908 + 4?\nAnswer: 390c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the third derivative of -b**5\/210 + 625*b**4\/14 - 3749*b**3\/21 - 10*b**2 - 86*b. Factor m(x).\nAnswer: -2*(x - 3749)*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 5*w + k, -k - 1 = w + 2*w. Solve 2 = 3*o - w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 0 - 2)*(2*l + 4*l + 2 - 4*l).\nAnswer: 12*l + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15876 and 891.\nAnswer: 174636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {w: 1, h: 1, r: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 26*q**2 - 5*q + 5. Let o(z) = 31*z**2 - 6*z + 6. Let m(p) = 6*b(p) - 5*o(p). Suppose 0*t + 4 = 4*t. Let j(x) = t - 1 - 4*x. Give m(j(n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2187003621 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3241, 12965, 29175, 51871, 81053, 116721, 158875?\nAnswer: 207515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 233229*l + 1399388. Determine r(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 2*x**3 - x**2 + x - 1. Let m(v) = 221*v**3 - 3*v**2 - 423*v - 3. Let l(i) = -6*a(i) + 2*m(i). What is the second derivative of l(r) wrt r?\nAnswer: 2580*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -844.29 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -775215 = 34*z - 2644297. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 324 = 4*c - 5*a, -2*c + 4*a + 192 = 9*a. What is the remainder when c is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = q - w + 3, -5*w = -q - 15. Let k be (q - -4)\/((-1)\/2). Find the second derivative of 12*b - k*b**5 + 5*b + 4*b wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -23 * 0.62.\nAnswer: -14.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t + 9*t - t - t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the third derivative of b**8\/1680 - b**6\/120 + b**5\/60 + b**3\/2 + b**2. Let x(v) be the first derivative of l(v). Factor x(k).\nAnswer: k*(k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -43*u**2 + 25*u + 15. Determine g(5).\nAnswer: -935","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 42?  (a) -4  (b) 3\/4  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 5*a**2 - 8*a - a**3 + 9*a + 2*a**3 - 2. Let y be n(-3). Are 12 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -263 + 269. Solve -14*k = -12*k - t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 19\/((-2052)\/96)*(-18)\/4. Suppose 0*d + 2*y - 7 = -d, 2*d = y + 14. Sort 5, d, 3, c in descending order.\nAnswer: d, 5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**2 - n + 1. Let p(t) = 918*t**3 - 8*t**2 - 9*t + 11. Give p(w) - 9*u(w).\nAnswer: 918*w**3 + w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -67, 3, -2, 1, 27 in descending order.\nAnswer: 27, 3, 1, -2, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from vtvvbvtvvvvbvvvtvxv?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 84*-18751\nAnswer: -1575084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a second in milliseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 183 - -148. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -504 = -93*f + 1263. Solve f = 11*c - 25 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 2*s**2 - 573*s - 7789. Give q(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 524 and 393.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -827 divided by 2?\nAnswer: -827\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 116, -3, 7659.\nAnswer: -3, 116, 7659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 5*b - 12 = 0, -2*b + 0 - 12 = -4*t. Let f = 1.14 + 0.86. What is the fourth smallest value in -2, t, f, 1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2520 (base 7) to base 10\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3240, 6807, 10372, 13935, 17496, 21055?\n\"Answer: -f**2 + 3570*f - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times 167763?\nAnswer: -83881.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13.12 - 13.42. Which is the nearest to -4?  (a) -4  (b) j  (c) -0.4  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2758827137 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36 and 201?\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - (16 - 9)) + -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 131289 and 138993?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -100 - -10760?\nAnswer: 10660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 3 - 54 = 0. What is the highest common divisor of h and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-16)\/40 - (-168)\/20. Suppose -3*z + 6 = -d, -y = -4*z - 0*z + 4*d. Solve -6 = -3*l - 2*b + 9, -z*l + 18 = 4*b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.02 * 58\nAnswer: -1.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 291275778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 1304*p**2 - 1317*p + 3. Calculate x(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -10 + 8 - 2 - n + 6. Give g(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, s: 1, w: 1, x: 1, q: 1}. What is prob of picking 1 w and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*r + 7*r = -360. Suppose -4*n = -2*v - 274, -7*n = -3*n + 2*v - 254. Suppose r + n = 3*d. Calculate the highest common divisor of 80 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -87\/16 and 107\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -3084\/6811?\nAnswer: -3084\/6811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -4*g - 16. Let v be q(-6). Let c = -20 + v. What is the units digit of ((-9)\/(-6))\/(c\/(-272))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t = 49 - 1. Let a(s) = -11*s**3 + 5*s**2 + 18*s - 24. Let w(r) = -5*r**3 + 3*r**2 + 9*r - 12. Let q(y) = 4*a(y) - 9*w(y). Calculate q(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**3 - 111*z**2 + 11706*z - 11592.\nAnswer: -3*(z - 46)*(z - 1)*(z + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 20*p + 8 + 37*p - 61*p - 2. Calculate s(-7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6654.174 millilitres to litres.\nAnswer: 6.654174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-8)\/(-2) - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, l: 4, h: 6}. What is prob of sequence ll?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 141 - 55 - 43 - 46 - 267*a**2 to the form t*a**2 + d + p*a and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((1 + 2*i - 1)*(-1 - 3 + 2) + (0 + 0 + 1)*(12*i + i + 0*i))*(-5 + 6 + 11) to a*i + s and give a.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1425)*-4 + sqrt(57))\/(sqrt(3) + sqrt(3)*1*-4).\nAnswer: 19*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -a - -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - (-19 + 7)) + -17 + -32?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -919 + 10819. What is t rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + 16 = -0*c - 4*c, 17*c - 11*c = 2*b + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -133, -3, 2, 13, -5 in descending order.\nAnswer: 13, 2, -1, -3, -5, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5376)\/168 - (-1 - 9)) + 10\/(-2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/35)\/((-4)\/21)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 + j**3 + 3*j**2 + 6*j**2 - 7 - j**3. Is t(-8) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16 + 16. Suppose 3*j + 0*n + 4*n - 14 = u, 0 = -2*j + 4*n - 4. Suppose j*t + t - 60 = 0. Calculate the greatest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -2*t. Let y(k) = 6*k - 6. Let j(c) = 5*c - 5. Let u(l) = -5*j(l) + 4*y(l). Let a be (-7 + (-15)\/(-2))\/(3\/(-6)). Determine a*u(s) + x(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.468 - 0.068. Let o = 1171\/17 + -69. Which is the closest to 0?  (a) n  (b) -4  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -8, -2, 4?\n\"Answer: 6*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 1\/6, -5\/7, -10, -3, 702?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**2 - 20*b - 59. Let c be q(-16). Suppose 2*d + 0*d = 0. Let v = c - d. Solve 2*p + 2*p = 2*m - 6, 20 = 3*m + v*p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 times -0.038?\nAnswer: -0.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6364 and 1161?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -475 + 0*b**2 - b**2 + 2*b**2.\nAnswer: b**2 - 475","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -41 (base 6) to base 8.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.02 * 882.\nAnswer: -17.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the second derivative of 3*h**5\/70 - 3*h**4\/7 + 12*h**3\/7 - 24*h**2\/7 - 15*h. Determine r, given that b(r) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -362 - -369. Let r(m) = m**2 - 6*m. Determine r(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18 + 24. Let o = s + -5.866. Let l = 5.766 + o. Round l to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ntntlnttntttnltt. What is prob of picking 1 l, 2 t, and 1 n?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v + 55. Let m(a) = 11. Let b(w) = -2*h(w) + 11*m(w). Let x be b(-8). Sort -4, 0, x in descending order.\nAnswer: 0, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0*(-1 + 2\/4). Suppose -4*n + n + 15 = x. Suppose d - 12 = -u, 0 = -4*u + n*d - 2*d + 69. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*20\/16 - 16\/(-320)*15.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -253 - -189. Let t = -17 - q. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1269623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -6*l**3 - l**2 - 4*l - 5. Let h = -32 + 28. Let x(k) = -k**3 - k - 1. Give h*x(v) + b(v).\nAnswer: -2*v**3 - v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17\/(-5) + 2 + (-16)\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1740699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 14554521871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**2 - 2*l + 2. Let y(t) = 2*t**2 - 5*t + 5. Let s be (-12)\/16*16\/(-1). Let f be (-30)\/(-8) + (-9)\/s. Suppose q + 5 = f. Calculate q*y(c) + 5*r(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -2*y**2 + 2*y + 1. Let p(n) = -2*n**2 + 75*n - 27. Let c(h) = -p(h) + 2*z(h). Differentiate c(w) wrt w.\nAnswer: -4*w - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 13 = 4*l, -h = -2*h - 2*l - 5. Let f(v) = 28 - 3*v - 29 - 25. Calculate the remainder when f(-9) is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand d**3 - 2*d**3 + 3*d**3 + (-3 + 4 - 2)*(-45*d**3 + 112*d**3 - 55*d**3) + 4*d**3 - 6*d**2 + 6*d**2.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 418 and 76?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c. Let x(y) be the second derivative of 47*y + 1\/2*y**2 - 1\/3*y**3 + 0. Calculate x(k(b)).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 32381096.64?\nAnswer: 32381090.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -56*u - 11. Let v(a) = -47*a - 10. Calculate -4*h(x) + 5*v(x).\nAnswer: -11*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 112387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((b\/b**2)\/b)\/b)\/b**(-2\/13))\/(b**(-2\/3)*b)**33)\/((b**4)**(4\/37))**(-44) assuming b is positive.\nAnswer: b**(2492\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -3390.\nAnswer: -1\/1130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -492*u = 431*u - 240*u - 7513. Solve -103 = u*n - 180 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-2))\/(3\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 309582542 divided by -154791271?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 20 - 19. Let u be m\/((-24)\/18)*-4. Let h(v) = -8*v - 3. Give h(u).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6159252?\nAnswer: 2, 3, 11, 29, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 3, -13, 4, 8, -4, -1 in descending order.\nAnswer: 8, 4, 3, 2, -1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 - -3. What is the tens digit of ((-6)\/(-2))\/(k\/45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 + 4*z**2 + z - 4. Let p be o(-3). Let x(c) = c**3 - 2*c + 0*c**3 - p*c + 1 - c**2. Suppose 18*j - 2*j = -20*j + 108. What is x(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 2*l - 399 + 73 = 0, -457 = 3*r - 5*l. Let h be ((-14)\/(-21))\/(2\/r). Let t = 56 + h. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3281*w**2 + 3894*w - 249297164?\nAnswer: 6562*w + 3894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 43426031 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes after 8:08 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**2 - 10*c + 15. Let v be f(10). Let j be 6\/v + 4\/(-10). Suppose 5*u - 16 - 19 = j. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -6178, -6214, -6252, -6292, -6334, -6378?\n\"Answer: -f**2 - 33*f - 6144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1710368?\nAnswer: 2, 11, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 4*c = 20, -5*h + c = -21 - 35. Suppose -7*q + 111 = r, -r + 119 = -0*r - q. Calculate the remainder when r is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 3*y - 79 = -5*d, -82 = -5*d - 4*y. What is the remainder when 52 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -2*p**4 + 3*p**3 - p**2 + 1. Let h(v) = v**3 + v**2 - 1. Let y(f) = h(f) + u(f). Factor y(q).\nAnswer: -2*q**3*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-758464)\/384*(-8)\/(-532) + (-2)\/(-57).\nAnswer: -89\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2*1\/14 + (-18029)\/77. List the prime factors of -3 + 5 + w\/(-2).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, h: 2, n: 1, x: 1, s: 1, j: 2}. What is prob of sequence xjhs?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put together -93 and -0.004529.\nAnswer: -93.004529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-30)\/5)\/(-12)*-1*-8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**3 - m**2 + m + 1. Let d be j(-2). Suppose 2*u - d - 7 = 0. Let i = -1 + 1. Which is the nearest to i?  (a) u  (b) 4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (804 - 801) + ((-1346)\/322 - -2). Is 2 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, f: 4, c: 4}. Give prob of picking 2 c and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -6*g - 1. What is the units digit of d(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:03 AM and 5:06 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 2*b + 10 = -z, 4*b = -z + 14. Suppose 8 = -b*v + 2*v. Calculate the smallest common multiple of 32 and (-1)\/v - (-282)\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 587\/9 - 65. Suppose -3*f - 17 = 682. Let g = f + 216. What is the third smallest value in g, t, 4, -3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0*(-8)\/(1 + 23). Suppose 133*u - 148*u = o. Which is the third biggest value?  (a) -2  (b) -4  (c) u  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 - 123\/6)\/12. Let d = z + 101\/72. Let h = 34\/9 + -28\/9. Sort d, h, -1.\nAnswer: -1, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-114)\/59 - (-5)\/(20\/8). Let z = 1671\/590 + j. What is the common denominator of z and 38\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 - 1)*(428278*y**2 - 1 - 427925*y**2 - 2*y + y) in the form k + o*y**2 + w*y and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2899896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 79137\/17 - 4655. Which is the fifth biggest value?  (a) 59  (b) -0.5  (c) p  (d) 2  (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 + 1 - -12*1. Let p = b + -6. Suppose 0*n - n + 4*y - 13 = 0, 55 = p*n + 4*y. Solve -k + n - 2 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -35, 4528, -3\/4 in decreasing order.\nAnswer: 4528, -3\/4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 0.087, 0, -6\/71, -2?\nAnswer: 0.087","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -2*y + y + 5*y - 8. What is the tens digit of p(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes after 1:44 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(((-2)\/(-12))\/(11\/(-22)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4.5 + -4. Let d = a - 1. Let f = -2\/59 + 246\/295. What is the nearest to 1 in -0.4, d, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -911.6291464 to the nearest ten.\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -3\/8, 0.04, -4, -0.37, -49?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13*c**3*s**2 - 8*c**3*s - 2*c**2*s**2 + 437*c*s**2 + s**2 wrt c.\nAnswer: -78*c*s**2 - 48*c*s - 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1200469\/5 - -240097. Factor 18\/5 + x*g - 2\/5*g**2.\nAnswer: -2*(g - 9)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y**3 + 15081*y**2 - 210585*y + 195507 = 0. Calculate y.\nAnswer: 1, 13, 5013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 501494.\nAnswer: 2, 7, 113, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -13.08038 and -0.4.\nAnswer: 5.232152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*h + 26078 = 3*h. Let m = 1872 + h. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 124*m + 120. Give d(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/2, -0.13, -1\/2, 4\/23, 36, 21?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 856?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of j**2*r**3*z - j**2*r**3 + 2*j**2*r*z - j*z - 4*r**3*z - 12*r - 2 wrt r.\nAnswer: 6*j**2*r*z - 6*j**2*r - 24*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 2*v. Let h(w) = -3*w - 4. Let k(z) = 2*z + 3. Let m(o) = -3*h(o) - 4*k(o). Calculate m(s(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32013.\nAnswer: 3, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, a: 2, d: 6, b: 3}. Give prob of picking 1 d and 1 z.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 85335530 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -325104 - -58.370513.\nAnswer: -325045.629487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*q + 4*q**2 - 8*q - 3*q + 5*q**2 + 12*q.\nAnswer: 9*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -38.08 + 36. Let c = 0.08 + s. Let k = c - -3. What is the closest to 1\/4 in -2, -2\/15, k?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 2*s**2. Let w(b) = 2830*b + 80. Let a(r) = -3*r - 4. Let d(o) = -20*a(o) - w(o). Calculate d(v(g)).\nAnswer: -5540*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -129*t + 61*t + 69*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**2 - 2*i - 43. Calculate t(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 5*u + 17 - 87, 3*o = -2*u + 33. What is the highest common factor of u and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -4*w - 4. Suppose 0 = 3*s - 5 - 1. What is the least common multiple of h(-3) and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -203463 take away -18111327?\nAnswer: 17907864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -823*o*u**3 + 2*o*u**2 + 678*u**2 wrt u.\nAnswer: -4938*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-130)\/(-91))\/((12\/28)\/(-3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -3*p - 2*f + f, 0 = 4*p - f + 10. Let o(s) = -s + 1. Let y(x) = x**2 - 4*x + x**2 - 2 + 6*x. Let l = 1 - 2. What is l*y(g) + p*o(g)?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together 22166 and 136.322807.\nAnswer: 22302.322807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of 10*v**3\/3 - 1. Let f(j) be the third derivative of -11*j**4\/24 - 6*j**2 - 312*j + 1. Determine z(f(d)).\nAnswer: 1210*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - 13*w**2 + w - 9. Suppose -2*p = -10, 3*p + 190 = 3*l + 2*l. Suppose -4*y - l = 15. What are the prime factors of d(y)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 70*l**2 - 28*l - 133. Calculate g(-4).\nAnswer: 1099","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/1610 and 173\/966?\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 194578462 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 324700 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -21679222\/155 less than -139865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -41*u - 27*u - 36*u + (4*u - 2*u - 5*u)*(20 + 10 + 20) as x*u + c and give x.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 9) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.3 + 0.7. Let h = 12.1 + -12. Let i = 11\/3 + -34\/9. What is the closest to h in i, 5, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 54298*p**2 - 92*p + 9433922.\nAnswer: 108596*p - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15831150.\nAnswer: 2, 3, 5, 105541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-10)\/(-40))\/(3\/(-36)). What is the nearest to 2\/3 in 2\/7, w, -5.9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1267\/79285 + -3\/785. Let n = 188\/707 - p. Determine r so that -2\/7*r**3 - 4\/7 + n*r + 4\/7*r**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/((-6)\/9 + 0). Let n = 10 - q. Suppose 2*r = -u + n, -2*u - 5*r + 26 = -3*r. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -598\/297 + -61\/27. Calculate the common denominator of 1\/8 and x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 378617 is divided by 601?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 - 8*l**2 + 4. Let p be x(-8). Suppose 3*m + 0*m - 3*h - 18 = 0, -p = 4*h. Solve -5*t - 5 = -m*o + 15, 4*t + 10 = -2*o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1a38 (base 12) to base 2.\nAnswer: -110010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-60)\/8*(-4)\/(-5). Let n = y - -26. Let q(r) = -r**3 + 10*r**2 + 13*r - 15. What is the remainder when n is divided by q(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:41 PM and 12:33 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together 8224 and 0.4.\nAnswer: 8224.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 18 - 8. Suppose 5*f - q - 10 = 0. Let g = f - -5. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 208 = -308. List the prime factors of n.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 906.1492 kilograms?\nAnswer: 906149200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41327407 is divided by 2102.\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(68)\/(-2*(sqrt(4)*-1 - sqrt(4)) - sqrt(4)))**2 + 3.\nAnswer: 112\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3326*f + 600*f - 1401*f + 651168 = 395*f for f.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 0 = 4. Suppose 2*j + 4*g - 10 = -2, -j = h*g - 8. Suppose 0 = z - j*z - 10. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1011011000010 (base 2) to base 15.\nAnswer: 1ad6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 11 + 8 + 31*j.\nAnswer: 31*j + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of t**4\/12 + t**2\/2 + 2*t. What are the prime factors of v(-6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a. Let o(h) = -7*h**2 - 86*h. Give o(x(g)).\nAnswer: -7*g**2 - 86*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28220.196 months to centuries.\nAnswer: 23.51683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -113, -5, -7 in decreasing order.\nAnswer: -5, -7, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 85\/3, -4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -2*m + 39. Let p be s(17). Suppose -3*w + p*b + 27 = 0, 3*w - w = -3*b - 1. Solve -r - r - w = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -39*d + 4. Let o(t) = -39*t + 4. Let f(n) = 5*o(n) - 4*y(n). Suppose 5*h = -2*q - 25, 3*q = -2*h + 3*h + 5. Is f(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k - 7. Let x(o) = -1. Let a(c) = -b(c) + 4*x(c). Let u be a(0). Let q = -5 - -10. Solve 9 = q*n - 2*i - i, -n + u*i = -9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*l + 4 + 3 - 5.\nAnswer: 47*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -230012023 (base 4) to base 15\nAnswer: -387b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4662 divided by 2?\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 30 and 850.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -26*a**2 + 268*a**2 + 1 - 3 + 377*a**2 to the form u*a + i*a**2 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 9*k - 1. Let l be n(-1). Let i = 20 - l. What is the greatest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -3*p**2 + 157*p - 985. Give k(45).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 229960 and 735872?\nAnswer: 3679360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -15*j**2 + 4*j + 163. What is the remainder when f(0) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 36 + 698 + -757?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - ((-160 - -181 - (2 - 57)) + 12 + -2)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - -1. Let d = r + 8. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2768110.86 to the nearest one thousand.\nAnswer: 2768000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -36773 divided by -514\nAnswer: 36773\/514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 117\/299*(-20)\/24*(-152)\/(-190).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(68)\/sqrt(4) + -3.\nAnswer: -sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4286477 millimeters to nanometers.\nAnswer: 428647.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 53*o - 1200. Suppose -o*a + 2*a + 374 = 0. Solve -5 = g + 3*y + 5, 2*g = -5*y - a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*m**2 + 50*m + 53*m - 120*m - 4*m**2 to the form c*m**2 + k*m + w and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2786985 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -15*q + 12. Let t = 23 - 11. Let f(m) = 6*m - 5. Calculate t*f(d) + 5*i(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -6073147.5 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -42*l*o**2 + 8*l*o - 395*l - 1208*o**5 - 15*o**2 + 209*o wrt o?\nAnswer: -84*l - 24160*o**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16341 is divided by 451.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-5 + 1 + 4)\/(-2). Let z be -9 + (1 - t\/2). Let n(d) = -9*d + 11. Let r(x) = 3*x - 4. Give z*r(g) - 3*n(g).\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -0.1, -4, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 581994392 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-17)\/(o*o*o**24*o*o) assuming o is positive.\nAnswer: o**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) 4  (b) -0.14  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -995.18 + -0.1?\nAnswer: -995.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 PM and 9:48 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 45\/2 of a kilogram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-5)\/12*-51)\/(3\/12). What is the highest common divisor of 68 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:52 PM and 7:05 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 114663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 164?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 + 2.5. Suppose -4*w = g + 22, -w - g = 12 - 5. Let q be (5\/15)\/(5*5\/(-150)). What is the closest to 2\/7 in w, s, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.079 * 1.622.\nAnswer: -0.128138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2\/15 + 7318*w\/15 + 897128\/15.\nAnswer: 2*(w + 127)*(w + 3532)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.04891828 to 3 dps.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 200 + -3. Let z = v - 197. Let x = -0.4 + 0.5. What is the closest to z in 2\/21, x, 14?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 18 - 9 - 14 - 42*y. Is z(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 - 1063343?\nAnswer: -1063344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d - 2. Suppose -30 + 6 = 12*w. Suppose -2*f + 10 = 3*k, -5*f + 2*k + 12 = -51. Let b(t) = -t**2 - 6*t - 11. Give f*x(g) + w*b(g).\nAnswer: 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, r: 8, a: 4}. Give prob of sequence ka.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1278 divided by 2.\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6*d**3*g**2 + 61*d**3 + 2*d*g - 2*d - 1491978*g**2 + 228804 wrt g?\nAnswer: -12*d**3*g + 2*d - 2983956*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 455*a + 3*a**3 + 479*a - 934*a.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0349396 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1522 times 0.10535\nAnswer: 160.3427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 95*y - 374. Let x be m(4). Solve -4*f + 2*o - 6 = 0, -5*f + 4*o - x*o = 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13 + 24 - 27 + p**2 to n + u*p + d*p**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -34523*a**2*i**2*o**3 + 43*a**2*i*o**2 + 32*a**2*i*o - 2*a**2*o**3 + 2*o wrt i?\nAnswer: -69046*a**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = v + 4. Let w(h) = 8*h**2 + 3*h + 2. Let r be w(v). List the prime factors of -86*(r\/2)\/(-7).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 10:26 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 6256, 12522, 18788, 25054, 31320, 37586?\n\"Answer: 6266*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 32*a**2. Let m(q) = -q**3 + 3*q**2 - q + 1. Let b be m(3). Let v(x) = 92*x**2 + x + 3. Let g be v(b). Let f(c) = -g + 369 - c. Determine k(f(i)).\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -2568*k + 1512 + 2070*k - 11*k**2 + 3*k**2 + 6*k**2 = 0?\nAnswer: -252, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 260, 795, 2244, 5063, 9708, 16635?\n\"Answer: 76*b**3 + b**2 + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-139 - 7*m + 139)*(2 + 1 - 5).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9006 - 8619. What is the greatest common factor of 344 and y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that b**5\/8 + 1196*b**4 + 7399543*b**3\/2 + 3312913160*b**2 - 1201987619200*b - 2417197312000 = 0.\nAnswer: -3280, -2, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 197127, 788497, 1774115, 3153981?\n\"Answer: 197124*h**2 - 2*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kllknkknkknnn. Give prob of sequence kkn.\nAnswer: 25\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 21887245.49 less than -1.43?\nAnswer: -21887246.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/n**18)\/n)\/n**(-4\/23))**31 assuming n is positive.\nAnswer: n**(-12710\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of s**4\/4 - 5*s**3 + 11*s**2\/2 + 16*s - 7. Let v be d(14). Let c = 29 + v. Solve -c*j + j - 10 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -324 + 327 + (-1 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/64690 and 17\/310512.\nAnswer: 1552560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-30)\/275)\/((-6684)\/(-25065))?\nAnswer: -9\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -1521*x**2 + 7344*x + 1300. Calculate g(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1245)\/(-498))\/((-155)\/(-1798))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1 + -47)\/(-8) + 150.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 354*x - 140. Let i(y) = 117*y - 42. Let a(k) = -10*i(k) + 3*j(k). Let b(c) = -c - 9. What is b(a(t))?\nAnswer: 108*t - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/((p\/(p*(p**(9\/7)*p)\/p))\/p)*p)\/p**(-3\/4))**(-2\/9) assuming p is positive.\nAnswer: p**(-47\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n - 5*h + 190 + 288, -5*n + 600 = 5*h. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 3*n**2 - 12*n - 26. What is the tens digit of x(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3 - 7) + (-1 - (-1 + -5)). Find the common denominator of -15\/64 and (-749)\/14*a\/56.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.211 - -1.761. Let r = -374 + 372.248. Let y = u + r. Round y to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 147296?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 - 52\/20 - -4. Let o be 6\/(-30)*10\/4. Let p = 0.1 + -0.2. What is the closest to p in h, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) -2499  (c) 0.5  (d) 155\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9840 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2 + 17*d + 21. Let v be f(-16). Suppose 0*s + 5*y + 213 = 2*s, 585 = v*s + 5*y. Calculate the remainder when 32\/(-48)*s\/(-4) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 143*a - 165304 - 570822 = -11730*a for a.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 plus -4964?\nAnswer: -4964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the first derivative of 4 + 0*v**3 + 0*v**4 - 6*v + 0*v**2 - 2\/5*v**5. Differentiate w(m) wrt m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (-6 - (12 + -7 + -3) - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23264252.\nAnswer: 2, 11, 223, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5 - 9*d**5 + d**5 - 5 + 8*d**2 wrt d?\nAnswer: -480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3339 or -3340?\nAnswer: -3339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 31050*y - 31046*y = -93, 2*w - y = 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 59969760 and 150?\nAnswer: 299848800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -17.5 + 17.4545. Let o = a - -0.045. What is o rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (k**3 + k - 10*k - 2 + 5*k)*(5802 - 69*k - 5802) in the form y + r*k**3 + w*k**4 + d*k + p*k**2 and give p.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2442 - -605?\nAnswer: -1837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:17 PM and 5:41 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18*(-20)\/60*(-15)\/5535*-3.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 4\/217697211 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 3*t**3 + 10. Let m = -33 - -35. Let z(h) = -h**3 - 3. Calculate m*i(n) + 7*z(n).\nAnswer: -n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22824, -92008, -207314, -368742, -576292?\nAnswer: -829964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 3*h**2 - 45696*h + 174010368 = 0.\nAnswer: 7616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 62, 119, 182, 251, 326?\n\"Answer: 3*v**2 + 48*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -160, 79, -410, -4 in descending order.\nAnswer: 79, -4, -160, -410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1108206?\nAnswer: 2, 3, 11, 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16337992 is divided by 16337894?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16737713.\nAnswer: 109, 153557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-3) + (-377)\/1392?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 48*o**2 + 2*o + 7. Let w(n) = 25*n**2 + n + 3. Give 6*g(t) - 14*w(t).\nAnswer: -62*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6720 - -591255\/88. Find the common denominator of (47\/2256)\/(11\/2728) and z.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23143 (base 5) in base 11?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -965 = -2*g + 5*c + 546, 5*c - 1541 = -2*g. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.48209cm in millimeters?\nAnswer: 244.8209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:51 PM and 7:44 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1835038 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = t + 8, 2*t + 3*q + 2 + 1 = 0. Let m = 6 + t. What is the tens digit of ((-2)\/4 + m)*26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 4*z + t + 7, 15 = -5*z - 5*t. Suppose 30 - 38 = -z*u. Solve 3*m + u*j = 22, 0 + 4 = j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18501*o - 41183*o + 12393*o - 1.\nAnswer: -47291*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0 - (-7 - 2)) + -2. Let c be 2 - (2*(-4 - -2) - -5). Calculate the greatest common divisor of c and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/(-5))\/(-4 + 2). Suppose -5 - 11 = -2*n. Let y be (-1)\/(10\/n) + 1. Sort o, y, 1\/10 in descending order.\nAnswer: y, 1\/10, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 - 15*x**2 - 42*x + 22. Let c be f(-11). Solve -8*m + 4*m + 16 = c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -430*f**3 + f**5 + 38028 - 38026 + 99*f**2 - 3*f**5 wrt f.\nAnswer: -120*f**2 - 2580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 3*f - 10 = 0. Suppose r - f = 0, -2*r = 4*m + r + 18. Let p = -3 - m. Solve p*z - 2*a - 26 = 2*a, 21 = 3*z - 3*a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1451*a - 9813 = 32266 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2827419 divided by 21?\nAnswer: -134639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -4*w - 881478. Suppose 4*k + 597720 = 4*o - 1177592, -1331482 = -3*o + 2*k. Let h = w + o. What is h rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*p - 28 = 30*p. Suppose -9*x = -o - p*x + 47, x + 151 = 3*o. What is the greatest common factor of 34 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k. Let i(c) be the third derivative of 31*c**5\/60 - 4*c**2 + 12. What is b(i(p))?\nAnswer: -31*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -1, -73, 5 in decreasing order.\nAnswer: 6, 5, -1, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*x = -2*x + 34 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 566 = -a + 3*a - 4*z, 303 = a + 2*z. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, j: 2, b: 4, m: 11}. What is prob of sequence fff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -33*c - 7*c. Solve 0 = -c*q - 4*q - 5*f - 21, -5*f = -4*q + 29 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the second derivative of v**6\/70 - 9*v**5\/70 + 11*v**4\/28 - 3*v**3\/7 + v - 29. Factor z(b).\nAnswer: 3*b*(b - 3)*(b - 2)*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 + 4. Solve i = 4*t - 23 + 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the first derivative of -1\/16*j**4 + 0*j + 2 - 1\/6*j**3 - 1\/8*j**2. Find c such that p(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*z = -6166 + 6278 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(2*(-5)\/20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.12, 1, -0.04, 0.1, -5 in decreasing order.\nAnswer: 1, 0.12, 0.1, -0.04, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 292965 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22*g + 45*g + 30*g to n + d*g and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 2 = -4. Solve g*y + y = -12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 749 = 759. Suppose 4*u + 0*u - 24 = 0. Find the third derivative of -9*c**j + u*c**5 - 4*c**3 + 0*c**3 + 4*c**3 wrt c.\nAnswer: 360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 2*s**2 + 11 + 4 - 15. Let i(t) be the first derivative of 33*t**2\/2 - 79. Calculate g(i(m)).\nAnswer: 2178*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 550196 and 64852?\nAnswer: 2092","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuuuuuauuuauuuuauuuu. What is prob of sequence uaau?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3139.785 millennia in decades?\nAnswer: 313978.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-30)\/((-6)\/(-9) - (-4)\/(-7)). Let l = -297 - z. Suppose 2*b - a - 22 = -3*a, 68 = 4*b - 4*a. Calculate the lowest common multiple of b and l.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1202*f**2*g + 5*f**2 - 9*f*g - 166*g wrt f.\nAnswer: -2404*g + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2758324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -254356 and 127?\nAnswer: -32303212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 131 a factor of 51398192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2\/137 + 407\/274. Let h(r) be the second derivative of -3\/4*r**4 - v*r**2 + 8*r + 3\/20*r**5 + 0 + 3\/2*r**3. What is u in h(u) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-80)\/50)\/(4\/(-230))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -289*b = -288*b - 2173. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -12.403  (b) 2\/5  (c) 0  (d) -1\/5  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5418*d**3 - 46431*d**2 wrt d.\nAnswer: 32508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d**4\/5 - 942*d**3\/5 - 47542*d**2\/5 - 594642*d\/5 - 548044\/5 = 0 for d.\nAnswer: -23, -1, 518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -31 + (-1 - (-11 - 6))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is b361 (base 12) in base 3?\nAnswer: 222202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 10 = -t, 37 = d - 4*t + 35. Which is smaller: d or -1\/61?\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.91 - -0.31. Let m = -3 - i. Let f(n) = -4*n**2 - n. Let j be f(1). Which is the third biggest value?  (a) j  (b) -2  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.31 - 0.19. Sort 0.3, -3, m in decreasing order.\nAnswer: 0.3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -169966 less than -6?\nAnswer: 169960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -3 + 1 + 19*v + 1. Let j(b) = 519*b - 132. Let a(r) = -63*r + 16. Let y(n) = 33*a(n) + 4*j(n). Give l(y(f)).\nAnswer: -57*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -37200  (b) -1  (c) -2.5  (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 28*p**2 - 39188*p - 16800.\nAnswer: 4*(p - 1400)*(7*p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-320)\/(80\/5)*13\/286.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**2 + 13*y - 2. Determine r(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 + -6. What is the second biggest value in -5, -0.03, i?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-234)\/(-65))\/((-3)\/(-10)). Suppose -5*n + n - g = 2*m, -3*n = -2*m + 9. Suppose m = -6*y + 3*y. Solve h - w - 1 = 0, -3*w = 4*h - y*w + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28, 26, 22, 16, 8, -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1757\/21 - (-4)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3880)\/24444*((-48)\/(-5))\/4?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1075 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6.04 - -0.04. Let m = -2 - r. Which is the closest to 4?  (a) 3  (b) -2  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 101 - -31?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 56595698 and 34.\nAnswer: 962126866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1611.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 2*s. Solve 4*y - j - 23 = s, 3*j - 5 = -14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 87*j**5 - 201*j**5 - 229*j**5 + (3*j + 2*j - 2*j)*(j**2 - j**2 + 4*j**4).\nAnswer: -331*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -2*v**2 + 20*v. Let h be b(10). Suppose 4*s - 2*p - 40 = 22, h = -s - p + 17. What is the greatest common divisor of 112 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**3 - k**2 + 14*k - 154. Let q = -121 - -181. Calculate the remainder when q is divided by f(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2886 and 1084603\/376 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/19))**(-33)\/(y**31*y\/((y\/(y*y*y**40\/y*y))\/y*y*y)) assuming y is positive.\nAnswer: y**(-1335\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-86)\/(-10) + (-2)\/(-5). Suppose c = -n + 2*n. Let g = 12 + -6. Solve -s + 3*v - g = 0, 3*v - n = -5*s + 5*v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the second derivative of -1\/3*y**4 - 1\/20*y**5 + y**3 - 5\/2*y**2 + 0 + 5*y. Give a(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -134 + 10 + -5 - (655 - 692)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -41, -5, -1, -3 in increasing order.\nAnswer: -41, -5, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 4*o - 475 - 291 = 0, -s + 4*o + 282 = 0. What are the prime factors of s?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 20*b**2 + b - 32. Let c(m) = 2*m**2. Determine z(c(t)).\nAnswer: 80*t**4 + 2*t**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 298 - 17601*g + 17605*g - 323.\nAnswer: 4*g - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 38 = 2*z, 11*z + 4*f - 63 = 8*z. Calculate the remainder when 114 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, 414, -2, 1 in descending order.\nAnswer: 414, 2, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -282243 - -235.98491.\nAnswer: -282007.01509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + 3. Suppose 4*d - 2*a = 20, a + 2 = 3*d - 11. Suppose 0 = -3*n + d*z + 99, -j*n = -0*n + 2*z - 200. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 2036 = -l + 24, -l + 2058 = -j. Suppose -2*k - 572 + l = 2*f, 3*k = -f + 2224. What are the prime factors of k?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.14 + -1.6611692.\nAnswer: -1.8011692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 49.027 - 49. Is 1 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c + 13 = 2*f, 122 - 163 = -4*f + 5*c for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -22.5 rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = 290*r - 295*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 41 + -40.9906. Round k to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -5*n - 6. Let d be (-28)\/6 + 4\/6. Suppose -2*v = -u + 2*v + 44, -5*v - 125 = -3*u. What is the remainder when u is divided by c(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.07 - 5.07. Suppose 2*p - 145 = 101. Let q = p + -612\/5. Which is the nearest to 0?  (a) 3\/7  (b) q  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 - 3)*(-2*l**3 + l**3 + 3*l**3) + 4*l - 4*l - 2*l**3 + 613 + 148*l**3 - 613.\nAnswer: 144*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 93940523461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 86 (base 15) in base 4?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - -2. Calculate the remainder when 129 is divided by 22 + 15\/45 + o\/3.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60462 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -1) + 35 + -41?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 4948 and -4.\nAnswer: 4944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28 + 29. Suppose 2*h = h - 3. Let z be 24\/h + (4 - 2). Which is the second biggest value?  (a) 1\/8  (b) v  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -2*v. Let f(p) = -52*p**2 - 1. Calculate c(f(r)).\nAnswer: 104*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 9*m - 14 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -66 - (3 - (33 - 15)). Which is the closest to -1\/4?  (a) 0.4  (b) 1\/3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4717 less than -4717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 22.9915 at least 5\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*j**5 + 84*j**4 - 508*j**3 - 852*j**2 + 3276*j + 864 = 0.\nAnswer: -8, -3, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add 45.7231677746488 and -3.\nAnswer: 42.7231677746488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*a**4 + 1669*a**3 + 138*a**2 + a.\nAnswer: -48*a + 10014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 552 and 152?\nAnswer: 10488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 106*b**4 - 71*b**4 - 3 - 55*b**4 + b**2 as p*b**3 + n + r*b**2 + y*b**4 + l*b and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2869615?\nAnswer: 5, 7, 163, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-225)\/297 - 6\/(-9)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10919, 10921, 10923, 10925, 10927, 10929?\nAnswer: 10931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1534 - -1558. Let h = 272 + -154. Suppose 4*s = 4*o - 3*o - p, -4*o + h = -5*s. Is 19 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5360 + f - 4*f - 5386 as r*f + t and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 4  (b) -1\/3  (c) -5  (d) 48  (e) -0.0148\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 65 is divided by 42.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4719)*1)\/sqrt(3))**2.\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 28706809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -318 - 253 - 213 = -28*g for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 0 + (-273 - -278).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 + 6. Let r be (-1)\/2 + (-116)\/(-8). Suppose 3*g = 2 - r. Sort 6, o, g in decreasing order.\nAnswer: 6, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-1 + (0 + sqrt(147) + sqrt(147) - sqrt(147)) - (sqrt(147) + (sqrt(147) + 0)*3 + sqrt(147)))*5)**2*-2.\nAnswer: -470600 - 11200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*t = -4134841 - 5351559. What is t rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73181321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 - 40*y**2 + 74*y. Suppose -38 = 11*k - 456. Let n be q(k). Which is smaller: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 8 - 36 = -5*k, -2*u - 4*k = -22. Let y be -21 + u + 5 + -7. Let z = 49 + y. Is 25 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*55\/(-22)*-62*(-2)\/10.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(130) + 2*sqrt(130))\/sqrt(10)*2.\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 47328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.33 + 1556222.\nAnswer: 1556222.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - (-6 + 4 + 1)) + 12\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 + 366?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**2 + 46*y - 437. What is n(28)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 20753536 or 20753534?\nAnswer: 20753534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5 and 738524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1823391925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**3 - 7*n**2 - 2. Let o be b(-7). Is (-2 + 246 + o)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -3  (b) 37  (c) 2\/9  (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13970?\nAnswer: 2, 5, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 5*q + 612 = 0, 2*o - 3*q - 2*q - 306 = 0. List the prime factors of o.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000147810694 rounded to six dps?\nAnswer: 0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, 2\/3, -1, -48?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 + -0.7. Let k = -2.7 - n. Let h = -1\/31 + 33\/62. Which is the smallest value?  (a) h  (b) 1  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -270\/149  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-14171 + 613*l + 14171)*(3 - 4*l - 3) as b + v*l**2 + z*l and give v.\nAnswer: -2452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -2 - -23) + 0 + -11.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -2*o**2 + 37*o + 59. Let w be z(20). Let s = 3 - w. Sort s, -23, 5 in descending order.\nAnswer: 5, s, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + 33\/825)*10\/4?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + 13 = 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g**4\/11 - 5014*g**3\/11 + 3155030*g**2\/11 - 15670026*g\/11 + 12520008\/11 = 0.\nAnswer: 1, 4, 1251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 76707202?\nAnswer: 2, 11, 13, 268207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -202, -199, -208, -235, -286?\n\"Answer: -k**3 + 10*k - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9 and 409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6 - 13 - 5)*(-18*t**4 - 20*t**4 + 64*t**4) to i*t**4 + k*t + b*t**3 + s + n*t**2 and give i.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 50.54 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12\/25 + -178\/475. Suppose 2*p = -p. Suppose -4*b + 2*b + 8 = p. Sort b, t, -0.1.\nAnswer: -0.1, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = p - 5*x - 27, -51 = 129*p - 134*p + 4*x for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 303544*d**3 - 303541*d**3 + 6 - 29 - 3.\nAnswer: 3*d**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = 4*d - 114 - 0, d + 4*m = 35. What is the remainder when 79 is divided by d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*c + 86 + 148. Suppose 8*z = c + 6. Solve -4 = 2*t - z*t - 2*h, -5*t - 5*h = -10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/(((-1287)\/(-26))\/(-33))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 48, 420, 1428, 3390, 6624, 11448?\nAnswer: 18180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 62 + 44. Let t be (1 - 0)\/(2\/p). Suppose 0 = t*j - 57*j + 12. Calculate the greatest common factor of 9 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 12\/(-10)*(-13)\/(234\/300). Suppose n*y = 17*y + 9. Suppose -3*l - y*l + 624 = 0. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 8, o: 5}. Give prob of picking 2 c and 1 o.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, x: 3, f: 5, m: 9}. Give prob of sequence mf.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -9337688 - 2011\nAnswer: -9339699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - 4.87.\nAnswer: -8.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19675?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*w + 10*w + 270 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 18314.2852 to the nearest one hundred.\nAnswer: 18300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 7 = 2*c, -t - 7*c + 3*c + 17 = 0. Let p = t - 3. Suppose 2 = -x - 5*a + 4, x - a = 2. Put p, x, -4 in decreasing order.\nAnswer: x, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3*1\/1 - -34. Let l = o - 46. Let x = l + -7. Sort x, -4, 2\/17.\nAnswer: x, -4, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, 1\/516, -3, 0, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ororoorroror. What is prob of picking 2 r?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/5*-1*17\/(-357)*-35.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -9. Suppose 0 = -8*h + 67 + 485. Let d = h + g. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the third derivative of -s**6\/120 - s**5\/30 + 5*s**4\/24 + 11*s**2. Let t = -4 + 0. What are the prime factors of z(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 131*a + 62*a**3 - 131*a + 37*a**2 wrt a.\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 31 from -0.048175.\nAnswer: -31.048175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/6875 and -71\/4125.\nAnswer: 20625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -19, 4, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.7 - -0.8. Let g be (8\/144)\/(1\/(-4)). Which is smaller: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -13 + -36?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -2*y**2 + 59*y - 11. Let o be h(29). Let i be (-75)\/30*o\/(-105). Which is the nearest to 1\/3?  (a) i  (b) -2\/3  (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4393 - 4396.7055. Let h = v - -0.1325. Let s = h - -0.443. Round s to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/2 + -1 + 12. Suppose -3*m - g = 0, -2*u + 3*u - m + 1 = 0. What is the remainder when 37 is divided by (-78)\/u*(-6)\/(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -24089.96512 + 24090. Round l to 4 decimal places.\nAnswer: 0.0349","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6908 - -292. Suppose -3*r = -4*j - j + k, r = 0. Suppose 4*t - 2*t - j = 0. Round t to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-4)*(2784\/1584)\/(-29).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*s = -74 - 598. What is the remainder when s is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.4 + 2.6. Let r = 60.82 + -60.22. What is the biggest value in i, 3, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9962850 divided by 3907\nAnswer: 2550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 88*s**2 - 4*s + 1240. Determine u(0).\nAnswer: 1240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 5*o. Let v(k) = 5*k. Give v(h(s)).\nAnswer: 25*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 10841 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*h - 14*h - 2*v - 10*v = 0, -h - 7*v - 182 + 93 = -85 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.4 + 0.2. Suppose -254 = -131*o + 333 - 194. Which is the second smallest value?  (a) v  (b) -2\/3  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (16 - 78) + (-197 - -255)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*d - 14*d = -35. Suppose -2*u + d*u = 15. Factor 1\/4*b + 0 - 1\/2*b**2 + 1\/4*b**u.\nAnswer: b*(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6 - 7 - 1\/1. Is (-322)\/(-6) - p\/6 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 1088 = 7*z + 2*t, -4*z + 884 = 5*t. Calculate the greatest common factor of 18 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*b + 48 + 32 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.043  (b) -8  (c) 2\/7  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (104*h - 120*h - 2 - 79*h)*(2 + h**3 - 2) to p*h**2 + w*h + j*h**4 + d + k*h**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 4.797369 years?\nAnswer: 0.04797369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 25643 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (-4 - -14) + 5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.8 - -181033.15?\nAnswer: 181015.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.11 take away -39.29430490651?\nAnswer: 39.18430490651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1145, -4519, -10139, -18005, -28117?\n\"Answer: -1123*c**2 - 5*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 17 - (-1 - (2 - -1)) and 27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7921 divided by -7921?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3569*z**2 - 26*z + 2489 + 25*z + 4205*z**2 wrt z?\nAnswer: 1272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 283127?\nAnswer: 13, 29, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes before 6:46 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (27 - (13 + -13)) + (-11 + (6 - 1) - -10).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 417504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 20 - 54 + 5*x + 17 + 21. Give z(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 94\/30 + 1 - 10\/75. Solve -2*f + 7 = f + 2*s, 4*s = o*f - 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -38*j + 74*j - 33*j - 3 + 4*j**3. Let k(v) = -7*v**3 - 5*v + 5. Determine -5*d(x) - 3*k(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 12255106 (base 7) to base 8\nAnswer: 4160466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from {x: 3, s: 8}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*b**3 + 445573*b - 470620?\nAnswer: -6*b**2 + 445573","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z*z*(z\/(z**18*z*z))\/z))\/(z**9\/z)*(z\/((z*z**(2\/15))\/z))**(2\/111))**37 assuming z is positive.\nAnswer: z**(18341\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -39 - -38.8. What is the nearest to j in 0, 3, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*7\/(189\/459)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 412526622 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -67 - -139. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, f: 4, e: 2, u: 1, a: 3, d: 2}. What is prob of picking 1 f, 1 d, 1 a, and 1 e?\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or 143\/17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-5)\/v)\/v)\/(v\/((v*v**(3\/5))\/v*v)) assuming v is positive.\nAnswer: v**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2300\/1610*14\/15?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 16 + 15?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/9*(-24)\/(-2). Suppose f*c - 4*m + 3 = m, -c = -m. Calculate the remainder when c is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6312717.\nAnswer: 3, 701413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 32 = -2*a. Suppose 0 = b - 3*b + 128. What is the highest common divisor of a and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 205.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4453459 is divided by 318103.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/((-36)\/12)*-12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**2 - 2*g + 8. Let l(o) = o**2 - o - 1. Let z(c) = h(c) + 2*l(c). Let i be z(4). Is 6 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 692139157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 34 = 3*k, -k + 9*u = 7*u - 13. Solve -k*o = -12, o = -3*t - 0*t + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 53592882 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 555 + 35. Round h to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 5*w + 9, -11*j + 1 = -9*j + w. Find the common denominator of -103\/28 and (-3)\/2*j\/(24\/62).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (81\/12)\/(42\/(-16)) - -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -17 times 0.11\nAnswer: -1.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 319*l + 6350. What is r(-20)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 685727.73ms to hours.\nAnswer: 0.190479925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 4, m: 11, z: 4}. What is prob of sequence kmmm?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 329*o + 117. Is g(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8332 is divided by 132?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -8*h*p*x - 110*h + 10*p + 4*x wrt p?\nAnswer: -8*h*x + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 + -1111001101001?\nAnswer: -1111001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 + (-76)\/(-16))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 - 5.2. Sort s, -0.5, -0.21 in descending order.\nAnswer: s, -0.21, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (m - 2*m + 6*m)*(-1 - 2 + 2) + 645*m - 983*m - 2253*m - 2*m - 2*m + 2*m to z*m + a and give z.\nAnswer: -2598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**2 + 25*p - 381. Determine r(11).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = p - 5, 174*t + 18 = 178*t + 2*p. Let u(b) = -b. Let g(d) = 6*d - 15. Give t*u(v) + g(v).\nAnswer: 2*v - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = 2*s + 5*o, -4*o - o - 56 = 4*s. Is 4 + (-21)\/9*s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(1216) + 0)**2 - (5*sqrt(1216)*1)**2.\nAnswer: -29184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 - 6)*(7*h + 31*h + 193*h) + (4 - 5 + 3)*(-h - 6*h + 5*h).\nAnswer: -2083*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3417 - 30721\/9. Let t = 283\/72 - l. Suppose s = 4*x + 4*s - 17, 5*s - 21 = -3*x. Which is the third biggest value?  (a) -2\/13  (b) t  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-361)\/(-38))\/19*-1*(80\/(-12))\/(-4).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 3 v when four letters picked without replacement from {g: 2, v: 3, d: 1, r: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-26)\/(-12)*-3)\/((-10)\/((-320)\/16))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -30 - -56. Let u be 13\/d - 2\/4. Solve 3*o + 5*z + 16 = 0, u*o + 18 = -4*o - 5*z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10.05 + 10. Let r = 0.35 - h. Let y(j) = -j**2 - j + 2. Let k be y(-2). Put r, -1\/4, k in ascending order.\nAnswer: -1\/4, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 209 = 2*z + 53. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j - 2*j - 33. Suppose -j = -2*n - 7. Factor 0 + 6\/7*c**n + 2\/7*c.\nAnswer: 2*c*(3*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -39*z + 34*z + 1412406, -3*y + 4237128 = -3*z. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of -y**6\/15 + 3*y**5\/10 + 31*y**4\/2 + 205*y**3\/3 - 300*y**2 + 2540*y. Factor c(s).\nAnswer: -2*(s - 12)*(s - 1)*(s + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -268, -267, -266, -265?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -23*i - 44*i - 21*i in the form s + o*i and give o.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -c**4 - 911*c**2 + 1386 with respect to c.\nAnswer: -4*c**3 - 1822*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*w**3\/3 + 49*w**2\/3 - 152*w\/3 + 35\/3 = 0. Calculate w.\nAnswer: 1\/4, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - -10) + -5 + (-22)\/14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**0)**(-4)*(m**(1\/7)*m)\/(m\/(m*m**6)*m) assuming m is positive.\nAnswer: m**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 - 2*h**2 + 3*h + 3. Let s = 21291 - 21294. Let k(o) = -1 + 2*o + o - 4*o. Give s*k(t) - w(t).\nAnswer: t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7\/6 + -2\/3. Let g = -87 - -86. Sort g, 4, w.\nAnswer: g, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2 - 2 + 354*s + 8*s + 739*s**2 + 21*s wrt s.\nAnswer: 1478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16665300?  (a) -3\/4  (b) 0.1  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 2*d - 108 = -4*f, -15 = -3*d. Calculate the lowest common multiple of 28 and f.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -13*l + 12. What is the remainder when 36 is divided by n(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 20 - x - 19 + 19 + 13. Is b(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 w, and 1 g when three letters picked without replacement from zwzswveg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes after 5:04 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 86, 208, 404, 668, 994, 1376, 1808, 2284?\nAnswer: 2798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qfqkfffffqqqqqfkqqk. Give prob of picking 2 q and 1 f.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-22)\/(-44) - (-26)\/(-36). Let j = 34 - 34. What is the nearest to j in z, 20, -4, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of k**4\/24 + 11*k**3\/6 + 5*k**2. Let b be s(-9). Suppose -27 = -a + 4*g, -4*a = -g + b*g - 91. What are the prime factors of a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 54, 52, 50, 48, 46?\n\"Answer: -2*o + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the third derivative of a**5\/30 + 2*a**3\/3 - 3*a**2. Let s(p) be the first derivative of l(p). Calculate s(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -25?  (a) -6\/5  (b) 5  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -143*l**3 + 2*l**2 - 1. Let n be c(1). Let w = -56 - n. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 0*r - r + 0 + 1. Let z(y) be the third derivative of -y**4\/6 + y**3\/3 + 7*y**2. Let a(o) = o**2 - 7*o + 9. Let f be a(6). Calculate f*k(u) - z(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -1. Let s(q) = -q**2 + 17*q + 61. Let k(a) = -s(a) - 2*w(a). What is the remainder when k(28) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 4*x + 86 = 0, -58 = -5*o - 2*x + 193. Suppose -87*c = -303*c + 2631 + 7953. Does c = o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = 528*f + 28 - 52 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6\/8)\/((-11)\/(-132)). Suppose -3*s = -a + 13, -4*s = -a - 2*s + 8. Let t = m + a. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -15493 - 1398?\nAnswer: -16891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84*v - 14*v - 1078 = 0 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3122 divided by -7?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/(-16) - 3 - 18\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*90\/60*2\/3*(-57)\/(-30)?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2124441511 - -4.48\nAnswer: -2124441506.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -84*g + 65*g + 38 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*g + 616 = 78*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13459 is divided by 384.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -5092560, -20370133, -45832754, -81480423, -127313140?\n\"Answer: -5092524*o**2 - o - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (0 + sqrt(1053) + sqrt(1053) + sqrt(1053) + -3 + -1)*-5*-1)**2 + 3.\nAnswer: -4050*sqrt(13) + 237153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4597149900 rounded to the nearest one million?\nAnswer: 4597000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2\/3229 - 22555\/77496. Calculate the common denominator of 7\/639 and r.\nAnswer: 5112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 + -381?\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10201 - 0?\nAnswer: -10201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -25, -388, 2, 1029, 3, 1 in descending order.\nAnswer: 1029, 3, 2, 1, -25, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10 - 5. Let t = 0 + v. Let d = 25.2 + -27.2. Which is the closest to 2?  (a) t  (b) d  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 263*j**2 - 128*j**2 - 128*j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -16715 and 6.8.\nAnswer: -113662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2717974 - 5?\nAnswer: -2717979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = 5*t - 598640, 7*k - 20 = 3*k. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 691 - 472. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 123*o**2 - 10 - 402*o**2 + 10 to f*o**2 + t + d*o and give f.\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 154, -1\/4, -4\/11723 in decreasing order.\nAnswer: 154, -4\/11723, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is ac - -23ff?\nAnswer: 24ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 7*o**3 + o**2 + 3. Let q(v) = -12*v**3 - 2*v**2 + v - 6. Let s(a) = 5*b(a) + 3*q(a). Determine s(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 14240 - 436066?\nAnswer: -421526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-38 + 29 - 16)*(0*s + 3 - s - 1).\nAnswer: 25*s - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 1 - -1 - (-12 + 19)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111 + -100110110001001?\nAnswer: -100110110010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 2164*c + 1. Let j(i) = -26800*i - 2. Give t(j(w)).\nAnswer: -57995200*w - 4327","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*t**4\/3 + 57460*t**3\/3 + 41814*t**2 + 78416*t\/3 + 10456\/3 = 0. What is t?\nAnswer: -1, -2\/11, 2614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10, -38, -180, -470, -962, -1710, -2768, -4190?\nAnswer: -6030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -5*x - 178, 4*b + x + 6 - 172 = 0. Let n be b\/(-9) + (-1)\/3. What is the second smallest value in -1, n, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*y - 6*y. Let m(k) = 10*k**2 - 5*k - 36. Is 15 a factor of m(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 PM and 1:49 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/(-15)*0 + -52. Let y be 11\/99 - s\/18. Solve -5*l + 5*r = 2*r - 13, -4*l + 11 = -y*r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-6*(sqrt(275) + 0 + sqrt(275)))**2 - (-2 + (1*(sqrt(275) + 0))**2).\nAnswer: -39873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8393 = 30476499*w - 30476576*w for w.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6456224 smaller than 6456093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 53 = 2*x + 32, 0 = 2*b + 6. Find the third derivative of -119*h**x - 918 + 29*h**2 + 918 + 5*h - 5*h wrt h.\nAnswer: -714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -139\/24 and 431392\/(-42880) + (4 - -6).\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-3)\/(-2) + -2)*4\/(-1). Let q(w) be the third derivative of w**6\/120 - w**5\/20 + w**4\/8 + w**2. Let o be q(m). Let k(b) = 4*b**2 - 2*b + 1. Give k(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.10935 - 0.15935. Which is the nearest to 2\/9?  (a) i  (b) 16  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3716665731 to the nearest integer?\nAnswer: 1549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, s: 3, x: 2}. What is prob of picking 1 s and 1 p?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70) + (sqrt(70) - (3*(-1*sqrt(70) - sqrt(70)) - sqrt(70))))\/(2*sqrt(90)).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -28 + -26. Let b = k + 69.2. What is b rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 2*i**2 - i - 10. What is the tens digit of b(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**3 - 7*x**2 - 5*x + 15. What is w(6)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q + p - 3*p + 6, -p - 3 = -4*q. Let x = q - -3. Let v(m) = -2*m**3 + 4*m**3 - x*m + 0*m + 2 - m**3 - 4*m**2. Calculate v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1803*p + 113116 = 31981 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of -12*y**7\/7 + 59*y**3\/6 + 3*y + 7. Find the second derivative of u(i) wrt i.\nAnswer: -1440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3206016*v - 3206122*v + 848 = 0 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 1 y when three letters picked without replacement from oyttotuuut.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 7 = -5*g. What is the third derivative of 4*v**2 - 4*v**2 + v**4 - 4*v**g wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/t**(-1)*t*t*t)*t*t**(2\/3)\/t)\/(t\/t**(2\/9))**(5\/4) assuming t is positive.\nAnswer: t**(-155\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 34*n**2 + 3733*n - 22490. Give s(6).\nAnswer: 1132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-3990)\/(-3500)*10\/3\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*p - 16*p**3 + 5 + 2*p - 4*p with respect to p.\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15)\/((-225)\/10))\/((-152)\/7752).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1653216.6ns?\nAnswer: 0.00002755361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 take away 0.08287?\nAnswer: -2.08287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 AM and 10:08 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -52 - 68. Let u(v) = -2*v**2 - 34*v + 3. Let q be (-5 - (-180)\/35) + (-88)\/28. What is the remainder when u(q) is divided by d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22729421 and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, u: 4, a: 2, i: 2, y: 2, w: 4}. What is prob of sequence ul?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 42*d + 38 = -52*d, -4*i - d - 11 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from {i: 1, n: 1, f: 1, p: 1, x: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, i: 19}. Give prob of sequence rii.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 6*w - 1 - w**2 - 3*w + 2*w**2 + 2. Let j be u(-3). Let h = -0.16 - -0.86. Which is the third biggest value?  (a) j  (b) h  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pwmnpwmxwmw. Give prob of sequence mx.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -25, -24, -7, 32, 99, 200?\n\"Answer: d**3 + 2*d**2 - 12*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 9 + 3*u**2 + 0*u**2 + u**2 in the form m*u + r + q*u**2 and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.035648902 rounded to 5 dps?\nAnswer: 0.03565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 70 and 9725030?\nAnswer: 9725030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 29*n**2 - 2*n**3 - 31*n**2 + 0*n**3 + (1 - 3 + 1)*(n**2 - n**2 - n**3) + 3*n**3 - 5*n**3 - 3*n**3.\nAnswer: -6*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 + 4*t**2 + 4*t. Let q be b(-3). Let o = -2 + 1. Sort o, 4, q in descending order.\nAnswer: 4, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 62920*b**3*j**2 - 2*b**2*j + 2*b**2 - 3117*j**2 wrt b?\nAnswer: 377520*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -115*n + 2007 - 7859 + 116*n as w*n + y and give y.\nAnswer: -5852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 17400127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*a = 20*a - 5654. Let v = a - -518. Solve -f - 10 = -j + f, -v*j + 4*f + 28 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3028849438?\nAnswer: 2, 17, 23, 3873209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -636276*p**3 - 196 + p**4 + p**2 + 636276*p**3 + 0*p**2 in the form h*p + g*p**2 + u + l*p**4 + z*p**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*t**2 - 1 + 5*t**2 + 2*t**2 - 2*t**2 + 2*t**2 - 2*t**2 + (3*t - t + 0*t)*(2*t - 3*t + 3*t).\nAnswer: 6*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 1574*m + 7864. What is a(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00018969889 rounded to six dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -9 + cc4e?\nAnswer: cc45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 a factor of 34505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (29\/(-435)*9)\/((16\/4)\/(-380))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -7284, -13635, -19948, -26205, -32388, -38479, -44460, -50313?\n\"Answer: 3*h**3 + h**2 - 6375*h - 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 - -47?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the first derivative of 7*v**2\/2 - 4*v + 1230. Let u(a) = -a - 1. Calculate 3*l(i) - 12*u(i).\nAnswer: 33*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**2 + 46117370*o - 46117372.\nAnswer: 2*(o - 1)*(o + 23058686)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + 0 + sqrt(567) + 0)*-3)**2.\nAnswer: -324*sqrt(7) + 5139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -204100320 (base 6) to base 13.\nAnswer: -975717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -11, -10, -9?\n\"Answer: y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 3*y - 148 = 0, -5*i - y - 3*y + 707 = 0. List the prime factors of i.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**2 + 7*v + 5. Let b be a(-7). Let x = 146 - 140. Solve -k = b*t + x, t = 3*k - 0*k - 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.14249366 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 3*m - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 60 - 63.1. Let y = 401\/10 - 81\/2. Do y and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 0.1  (b) 44.3  (c) 54.1  (d) -0.2  (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9 - 2314.446.\nAnswer: -2305.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1847167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -4*k - 27, u + 8*k = 6*k - 11. What is the closest to 10 in u, 1\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(-3)*9\/(-3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 34*l - 37*l + 1050. What are the prime factors of l?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 156 - (-5 + 0 - -5). Let x = b + 116. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:47 PM and 9:41 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 6*j + 1. Let l(f) = 2*f**2 + 120. Determine c(l(p)).\nAnswer: 12*p**2 + 721","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 6\/102 + 8158950\/510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p + 19. Let q be z(-14). Suppose c + 2440000 = q*c. What is c rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**2 - 3. Let d = -174 - -33. Let b = d - -141. Determine u(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 - 5*m**2 - m + 3. Let b be q(5). Let x = 1359 + -8135\/6. What is the common denominator of ((-58)\/40 - b) + -1 and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 161769 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 + -13. Let i = -506 + 477. Let n = i - -32. Put v, 2\/7, n in descending order.\nAnswer: n, 2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/(-2)*(-7 + -1447)*1. Let n = -510 + p. Calculate the highest common factor of n and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -98*j + 395. Let v be s(2). Sort v, 0, -5, -2, -4 in decreasing order.\nAnswer: v, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 2*c = 13*c + 9, c = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 19765 and -0.08276.\nAnswer: -1635.7514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2 and 80?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -11*p**5\/7 + 166762*p**4\/7 - 632217458*p**3\/7 + 1378817156*p**2\/7 - 861648931*p\/7 + 114882482\/7 = 0.\nAnswer: 2\/11, 1, 7579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.186 - -3.594. Let v = n - -0.22. Which is the closest to 1?  (a) v  (b) 0.3  (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 112650882*b**6 + 130*b**2 + 356527 wrt b.\nAnswer: 13518105840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(190) - (sqrt(190) + sqrt(190) + (sqrt(190) - 1*sqrt(190)*-4))))\/(sqrt(70)\/(sqrt(63)\/(sqrt(9) + (sqrt(36) - sqrt(9)) + sqrt(9)))).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*r + 4899 = -7101. What is the highest common factor of 50 and r?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from bbbebebbebbbee.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 5*y - 189, n + n = -4*y + 156. Let h = 1778 - 1758. What is the remainder when y is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100 (base 3) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s**(-2\/7)\/s*s)\/s*s)\/s*s)**(-39)*(((s\/s**4)\/s)\/s)\/(s*s**(-14\/9)*s))**(-29\/3) assuming s is positive.\nAnswer: s**(-10411\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((sqrt(300) - -2*sqrt(300)) + sqrt(300))*-1 - (sqrt(300)*-4 + -3)) + -3*(-1 + (sqrt(300) - (-2 + sqrt(300))) + sqrt(300))*-4)*-2)**2.\nAnswer: 14400*sqrt(3) + 173700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 + 21. Which is smaller: 18 or c?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1669 - -41758\/25. Let i = 769\/175 + c. Calculate the common denominator of 3\/25 and i.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.1  (b) 385  (c) -0.1  (d) 7\/16  (e) 0  (f) -0.73  (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 102, 44, -76, -258, -502?\nAnswer: -808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1095\/(-20) - (-1)\/(-4). Let r be q\/(-77) - (-1 + 0). Let d = -65\/42 + r. Which is the nearest to -6?  (a) 3  (b) 1\/3  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**4\/8 + 7*c**3\/4 + 15*c**2\/2 + 13*c + 8.\nAnswer: (c + 2)**3*(c + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 19277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.1, -5\/13, 7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2826757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -660 - -311. Let i = 348.99867 + v. Round i to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000722 to seven decimal places.\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 285 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 27.14584 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6585 is divided by 159.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 10*r. Let z(m) be the third derivative of -m**5\/30 + 10*m**2. Give i(z(j)).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 + -8 - -16 - 0) + -19?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 5, b: 11}. What is prob of sequence bbzb?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -9 - -10 - (-10 - -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 7  (b) -0.2  (c) 0.1  (d) 1\/7  (e) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**2 - 12*d + 14. Let k be y(10). Let n = 21 - k. What is the remainder when n is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gsq when three letters picked without replacement from {q: 1, v: 2, a: 5, g: 3, s: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-39)\/(-6)*(-8)\/(-10). Let r = 192\/35 - k. Factor 4\/7*s**3 + 0 + 2\/7*s**2 + 0*s + r*s**4.\nAnswer: 2*s**2*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1155478979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes after 11:31 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 324 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -27 + -3 + (59 - 0) + -82?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-46)\/(-3) + 1\/(-3). Calculate the remainder when (-616)\/(-12) - 5\/p is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5 and 1205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((-2*sqrt(48))\/sqrt(8) - -3*sqrt(18)\/sqrt(3))\/((sqrt(12)\/sqrt(27) - sqrt(4))\/(1*sqrt(288))).\nAnswer: -54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5475\/4 + 25475191\/18612. Let s be (-423375)\/55836 - 2\/6. Let f = s - n. Calculate the common denominator of -89\/16 and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -738 + 739.948. Let m = p + 0.102. Let x = m + -0.05. Which is the smallest value?  (a) x  (b) -0.4  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2634, 2646, 2666, 2694?\n\"Answer: 4*r**2 + 2630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33230113012 (base 4) to base 6.\nAnswer: -224101354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 + 14 + 0 + -2 + 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -0*j - 5*j + 4*k, 2*j = -5*k - 27. Let m(l) = -39*l - 3. Calculate the remainder when m(j) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -274, -276, -278, -280, -282?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 223 divide 159394379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7404 by 617.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.309 > 0.1037159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**4\/(o*o*o\/o**(1\/4))*(o*o**(2\/9)\/o)\/(o\/o**(-1\/3)) assuming o is positive.\nAnswer: o**(5\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-56)\/(-4)*7\/(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 + 72 + (-13)\/13. What is the highest common divisor of 60 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 0 - (6 + (-12 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 207  (b) 748  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16965684?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/11 and (-65)\/18 - 2\/4?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 21344848 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 154 (base 7) to base 13.\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 4*r = -6. Let n = -5 + r. Solve f + 2 = n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11 - -1. Let w = -14 - j. Which is smaller: -8\/3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 878076780 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 751892459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -4, 290, -1\/2 in decreasing order.\nAnswer: 290, 2, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -16436 + (6\/(2\/(-1)) - -6). Let a = 26513 + t. Round a to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 188378 = -3*l - 141973, 4*l - 220246 = -2*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2273 and 18040801.\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -199635\/19 - -10507. Let i = -159\/8 + 39\/2. What is the smallest value in 1\/6, i, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 10.34 and 0.01.\nAnswer: 0.1034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 111+258.29\nAnswer: 369.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:14 AM and 7:18 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of u**2 - 4. Let h be 2\/12 + 11\/6. Let c(s) = 1 + 1 - s - h. Determine d(c(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11354 - 9961. What is the greatest common factor of 35 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-168)\/700)\/(4\/10))\/(6\/(-20))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -75107, -150641, -226601, -302987, -379799?\nAnswer: -457037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5651*m*t - 2*m - 501 wrt t.\nAnswer: 5651*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d - 98 = -2*g - 4*d + 3*d, -31*g = 5*d - 1576 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 12 = -4*r, -23447*r - 16 = -23444*r - 4*d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1241 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 14 = -g - 2*q, q = -5*g - 21. Sort 4, -10, g in ascending order.\nAnswer: -10, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10, -2, 12, 32, 58, 90?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the second derivative of 1597*c**5\/10 - 4655*c**2\/2 - 5077*c. Differentiate d(t) wrt t.\nAnswer: 9582*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1414 divided by -2\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**2 - 3*v + 32. Determine o(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6167\/1102 + 160\/29. Let a = m - -74\/95. What is the common denominator of a and 67\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -137  (b) 3  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12660 and 46320.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 7  (b) 4  (c) 10.4574\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1923*c**3 + 4*c - 133 wrt c?\nAnswer: -11538*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11010 + 11101000010001?\nAnswer: 11100111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than 58\/5285655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 + 5 = 5*f. Let g be (f - 1)\/(1\/6). Is (g\/(-30))\/((-6)\/(-40)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*m**3 + 25*m + 12*m - 37*m.\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7569 and 57188?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*u**5 + 3*u**5 + 0*u**5 + (-4*u**4 - 4*u**4 + 5*u**4)*(-7*u - u - u).\nAnswer: 24*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*v**2 + 10*v**2 + 312*v**3 - 13*v + 10*v.\nAnswer: 312*v**3 - 2*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7948 = 5*q - 74448. List the prime factors of q.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*q**2 - 795*q + 0*q**2 + 797*q - 1351*q**4 as u*q**3 + f*q**2 + x*q + w*q**4 + a and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -477 + 484. Suppose o*k - 16*k = -2133. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 2604792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 55 = -15. Suppose 4*x + 0*p - 15 = p, -11 = -2*x - 3*p. Calculate the greatest common divisor of x and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*o - 42 = -6. Is 89078\/33*(-6)\/o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 193595905, 193595902, 193595899, 193595896?\n\"Answer: -3*k + 193595908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 4*h + 0*h = 22, 0 = -u - 2*h - 4. What is the units digit of 1\/(u\/4)*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**3 - 2. Let j be v(-3). Let z = -41 - j. Let m be -5*(z\/(-5) - 2). Which is smaller: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.03?  (a) 161  (b) 0.8  (c) -0.1  (d) 0.4  (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2078011.\nAnswer: 13, 19, 47, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -401\/24 or -16?\nAnswer: -401\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -255*c**4*g - 2*c*g - 34*g + 3 wrt c?\nAnswer: -3060*c**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.302004 rounded to 2 dps?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 205 - 249*z**2 + 480*z**2 - 209*z**2.\nAnswer: 22*z**2 + 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5\/(-10) + (-1)\/(-2). Let v = 1 - 1. Let q = v - x. Solve -2*w - 3*u = -q*w - 3, -15 = 3*w - 2*u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 110312859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 + 16. Let t = 0 - y. Put t, -1\/7, -1 in decreasing order.\nAnswer: -1\/7, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 + h**2 - 9*h - 9. Let z(j) = 1. Let t(q) = -2*q - 4. Let o(c) = -t(c) - 2*z(c). Let r(u) = 9*o(u) + 2*v(u). Factor r(n).\nAnswer: -2*n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.52673*-7042\nAnswer: 3709.23266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2311231132 (base 4) in base 12?\nAnswer: 2ba87a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 684\/27*((-3)\/2)\/(-1). Let r = h - 32. What is the third derivative of -18*o**2 + 11*o**2 + 17*o**2 + 15*o**r wrt o?\nAnswer: 1800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3158036 and 74890568?\nAnswer: 524233976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 11\/5, 9971\/2, -3\/5, -56?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 + 10*u + 21. Let d be r(-8). Calculate the greatest common divisor of d and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 3927946?\nAnswer: 3\/3927946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, -4, -5 in descending order.\nAnswer: 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.01 + 1802.\nAnswer: 1802.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-462)\/(-30) - 26\/65 - 16. Let c = -2 + 3. What is the third biggest value in c, t, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13.11 + 2.99. Let o = x - 16. Let v = 12 - 13. Which is bigger: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 285 - 245. Let x(z) = -z**3 + 16*z**2 - 20*z + 111. What is the smallest common multiple of x(15) and h?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*t**5*x + 2191425*t**3*x - 15551540*t**2*x - 2*t**2 wrt t.\nAnswer: 360*t**2*x + 13148550*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 1614.127cm?\nAnswer: 16.14127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 41157714 to the power of 1\/2, to the nearest integer?\nAnswer: 6415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -99*y**3 - 99*y**3 + 333*y**3 - 132*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 142729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 8.195202ml?\nAnswer: 0.008195202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 444 divide 1123287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + (16 - (-3 - (-2 + 18 - 28))) - 85?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**4 + 1630*i**3 + 660948*i**2 - 2678126*i - 3337445.\nAnswer: (i - 5)*(i + 1)*(i + 817)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19536 divided by -33.\nAnswer: -592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 65, 170, 311, 506, 773, 1130, 1595, 2186?\n\"Answer: 3*x**3 + 84*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.188 * 0.2\nAnswer: -0.0376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1242, -80, -2290, -5394, -9398, -14308?\n\"Answer: -l**3 - 438*l**2 - l + 1682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 8*v**3 + 8*v**2 + 6*v + 6. Let t(r) = r**3 + r**2 + r. Let c(l) = -m(l) + 6*t(l). Let o be 7\/((-35)\/4)*5. Is 19 a factor of c(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(1372)*-4 + 2*(sqrt(1372)*4)**2)*6.\nAnswer: -336*sqrt(7) + 263436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 91 and 26?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.81 + -3685.\nAnswer: -3684.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 136879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10.5 and -2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l = -8 - 20. What is the nearest to -0.2 in 1\/3, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2940)*-1*1 - 5*(-2*sqrt(2940) - sqrt(2940)))\/(-1*sqrt(36)\/sqrt(3) - sqrt(132)\/sqrt(11)*4).\nAnswer: -98*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of h**6\/15 - 46*h**5\/5 + 7*h + 24. Determine y so that c(y) = 0.\nAnswer: 0, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2\/20529 + -43331\/82116. Find the common denominator of -57\/44 and y.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 44 = 13*s. Suppose 0 = -x + 8*x + 35. Put -1, s, x in ascending order.\nAnswer: x, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 4 = 0, 3*x - 3*h - 16 = -x. Suppose -m + 3*q - x*q + 87 = 0, -4*q + 174 = 2*m. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**2 - 115*n + 1050. What is w(105)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 5, 1\/213, 1\/5, 2?\nAnswer: 1\/213","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times -534497?\nAnswer: 2137988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -2  (b) 1\/7  (c) -0.3  (d) 0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 63.51568 decades in centuries?\nAnswer: 6.351568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 - 2*b)*(-7*b - 5*b - 5*b) - 2*b**2 - 5*b + 5*b + (-3 + 3 - 4*b)*(-2905 + 2905 + 74*b) to v*b**2 + k*b + a and give v.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**2 + 11*t + 1. Determine p(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1517\/4990 - -2\/499. Find the common denominator of -105\/22 and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5737 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/15 in -4, -5, 5, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**3 - 326*p**2 - 2*p + 11. Let o(v) = 327*v**2 + 2*v - 7. Determine 2*i(y) + 3*o(y).\nAnswer: -2*y**3 + 329*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3651 and 1023747702.\nAnswer: 3651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5684988.\nAnswer: 2, 3, 227, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3671, 5, 1\/2, 4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 66, 165, 264, 363, 462, 561?\nAnswer: 660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 - 2*l**2 + 2*l + 2. Let a(n) = -2*n**2 + n + 1. Let j(x) = -a(x) + m(x). Let t(z) = 15*z**3 - z**2 - 6*z - 6. Determine -6*j(s) - t(s).\nAnswer: -9*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -335 - -332. Let g = -113 + 111. What is the nearest to g in n, 2, 1, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 - 3 - 4)*(3 - 4 - 1) + 0 - 1 - 3)*(20*m**4 - 20*m**4 + 24*m**5).\nAnswer: 48*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-7944)\/2144 - (-2493)\/(-55677)\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.72404989 rounded to three decimal places?\nAnswer: -5.724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 + -2621144?\nAnswer: -2621143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 - ((5 - 81) + -10) - -24?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(((sqrt(162) - sqrt(162)*-3) + 4 - sqrt(162)) + -1) - (-4*(sqrt(162) + 6*(sqrt(162) + -1)) + -4))**2.\nAnswer: -10296*sqrt(2) + 79084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -44876247 or 0.2?\nAnswer: -44876247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from agzzfllc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nvnnnvvnnnvnvnnvnnn.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*r + 3*r - 4*r - r + 1 - 1 + 2 - 2*r - 2 + (1 - 3 + 3)*(-r - 1 + 1) + 0*r - r + 0*r + 104*r + 236 - 236.\nAnswer: 98*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3026519 (base 12) to base 3.\nAnswer: 121221210010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 1616 divide 29860448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 - 4*b**2 - b**2 - 8*b + 2 - 7. Let i be w(6). Let p(t) = t + 19. List the prime factors of p(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = -3*v + 5*p, 5*p = 2*v + 3*v + 30 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-40)\/10*(-6)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 12\/(-30)*(1 + 2\/(-7)). Suppose 121*v + 56 = 135*v. Sort r, v, 5, -2\/13 in decreasing order.\nAnswer: 5, v, -2\/13, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11323523983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31359 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -98678 divided by 2.\nAnswer: -49339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1855194947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 15 - (-5)\/(15\/6). Let b(s) = s**2 + 13*s + 55. Let y be b(-15). What is the greatest common divisor of t and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 4*l - 8. Let q be j(3). Solve 20 = b + q*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -4*g**5 + 104*g**4 - 516*g**3 + 736*g**2 - 320*g = 0.\nAnswer: 0, 1, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together 22200 and 144436411.\nAnswer: 144458611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**3 + 10*i**2 - 8*i - 11. Suppose -3*g = 4*s - 39, 2*g + 0*s = 4*s + 6. Let h be u(g). Let z(f) = -7*f. Is z(h) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from {i: 1, s: 1, w: 1, u: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1305*x**2 + 3987*x**2 + 2032*x**2 + 3444*x**2 - 1511*x**2 + (2*x - 3*x + 3*x)*(0*x - 5*x + 4*x) - 3*x**2 - 5*x + 5*x.\nAnswer: 6642*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -67.851 - 0.149. Let t = 1551 + -1487.3. Let f = t + r. What is f rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + o**2 + 3 + (4*o - 5*o + 2*o)*(-2*o - 4*o - 4*o))*(-3 + 3 - 2*o + (0*o + o + 0*o)*(5 - 3 - 4) + 3 - 3 + o).\nAnswer: 27*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2106*m**2. Let l(t) = 8*t**2. What is r(l(u))?\nAnswer: 134784*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.6, -1, 2\/15, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rxxx when four letters picked without replacement from xxxrr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 + 9. Let b be (3 - 18) + (-6)\/o. Let f = 29 + b. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(2\/5)\/s)\/s)**28*((s**(-1\/4)\/s)\/s)**(4\/3) assuming s is positive.\nAnswer: s**(-239\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the second derivative of -h**4\/12 + h**3\/2 + h**2\/2 + 2*h. Suppose -4 = r, -g + 2*r = 7*r + 17. Let v be a(g). Is -4 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 563, 595, 641, 707, 799, 923, 1085, 1291?\nAnswer: 1547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.02 in 0.1, 4, 0.3, 0.14, 72.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:08 AM and 4:48 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.187647kg to grams.\nAnswer: 187.647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -88.9 + 89.9. Suppose -x + 0*x + 6 = 0. Sort x, 5, d in descending order.\nAnswer: x, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**3 - 26*x**2 - 61*x - 727. Let k be j(29). Let d(s) = -s**3 + 27*s**2 + 3*s - 68. Calculate d(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1516268 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -2070*w - 32. Is u(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-1 + 3 - 1)*(0*f + 5*f - 3*f) + f - 2*f + 0*f)*(-f**2 + 2 - 2 + (-3*f + 2*f + 3*f)*(2*f - 5*f + 4*f)) to k*f**2 + v + d*f + y*f**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 12:57 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -0.3, -0.01, -392\/9, -0.2, 480?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 4, q: 1, n: 5, h: 5}. Give prob of sequence rq.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -410733, -410737, -410743, -410751, -410761, -410773, -410787?\n\"Answer: -w**2 - w - 410731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 388 a factor of 235160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 1 = -9. Let g be 0 + 2 + s + -10. Let o(k) = k**2 + 6*k + 4. Let p be o(g). What is the third smallest value in -4, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 + 3*l**2 - l - 2. Let z be m(2). Let b = z - -2. Factor -2*q**2 - 4*q + 3*q**b - 3*q**2.\nAnswer: -2*q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one fifth of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -55, -19, 113, 341?\n\"Answer: 48*g**2 - 108*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 14886687983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 36*r**2 - 151*r - 1348. Give u(-11).\nAnswer: 4669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 q when three letters picked without replacement from {k: 9, q: 11}?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 188\/(-16)*-212 - 7.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2013449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3 + (-7)\/(7\/(-2)) - -4. Let b(v) = -v**2 + 11*v - 11. Let y be b(m). Suppose -k = -y*k + 72. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 4*i. Suppose 0 = -0*s + 2*s + d - 56, 5*s - 3*d - 162 = i. What is the highest common divisor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/20 - 34\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a - 38. Give r(-26).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 84.31187 decades?\nAnswer: 10117.4244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*a**3 + 0*a**3 + 2*a**3 - 2*a**3 - 2*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8740 - -8741.8715. Let c = -1.83 + w. What is c rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 1 = -c. Suppose c = -6*u + 3*u. Let o be 6\/4*(u + 3). Solve 8*m = o*m + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 137, 184, 265, 380?\n\"Answer: 17*x**2 - 4*x + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 93*z**2 - 1674*z + 11. Calculate v(18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 + 4*s**2 - 4*s. Let x be r(-5). Let c be (-6)\/x*(-210)\/(-28). Let w = c + -6. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -3*i. Let k(j) = 26*j - 58*j - 5 + 5. Calculate d(k(q)).\nAnswer: 96*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-112)\/(-30) + -4)\/(2\/(-10)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 10408*a**4*y**2 + 9*y**2 - 815 wrt a?\nAnswer: 41632*a**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*n = -30*n - 90. Let z = 69 - n. What is the least common multiple of 27 and z?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -27546*6\/(-9) - (0 + -1). Suppose -8*u = -16619 - r. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 24059, 24062, 24065?\nAnswer: 24068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4901, 4900, 4899, 4898, 4897?\nAnswer: 4896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8600 + 8599.5. Which is the fourth smallest value?  (a) -4  (b) 5\/4  (c) o  (d) 2\/3  (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1904*o + 3874*o - 1907*o.\nAnswer: 63*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (32 + 41 - 75 - 260*x)*(-2*x + 2*x - x).\nAnswer: 260*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 5142780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -5724 divided by -4?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (4 - (-5 - 3)) + -41 + 105 + -30?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*m**2 + 0*m**2 + 7*m**2)*(28*m**3 - 65*m**3 + 36*m**3).\nAnswer: -11*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 2*l**2 - l - 4. Let f = -22 - -39. Suppose -4*i + 27 = -f. What is the smallest common multiple of i and g(2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 139863200?\nAnswer: 2, 5, 174829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*f**5 + 4*f - 6*f + 3*f + (f - f + 3*f**3)*(f**2 - 5*f**2 + 2*f**2).\nAnswer: -12*f**5 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1*(96\/180 + 4\/(-3)). Which is the second smallest value?  (a) w  (b) 0.4  (c) 10  (d) 0.5  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-12)*w**(-3\/2))\/(w**(-2\/7))**(1\/14) assuming w is positive.\nAnswer: w**(-1321\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 73 - 51. Let d be (21\/(-28))\/(-3) + (-2)\/8. What is the remainder when 43 + d + 3 + -5 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-296)\/444)\/((-8)\/(-6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x + 3. Let s be 9 + -11 - 2\/(-1). Let z be j(s). Is 3 + (0 - (-213)\/z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + -1 - -3) + (-14 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.49, -4, 11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of 0 + 12*p**2 + 0*p - 29\/6*p**3 + 1\/6*p**6 + 0*p**5 + 0*p**4. What is the derivative of j(i) wrt i?\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1255446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 210 = d, i - 218 = 9*d - 4*d. Calculate the highest common factor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g**3 + g**2. Let t be f(-4). Let x = t + 115. Solve 5*k + 4*l - 2 = 5*l, -x*l = 5*k - 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*b - 29*b = 77289 + 14198. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 111, 123, 125, 111, 75, 11?\n\"Answer: -b**3 + b**2 + 16*b + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1053008 or -1053010?\nAnswer: -1053008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-1.64.\nAnswer: -1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*z - 4 = 5*d + 11*z, 8 = -3*d - 4*z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/(-4)*8\/(-3). Suppose 4*b - 7*b = -15. Suppose k*o - b*x - 124 = 0, 2*o = 7*o - 5*x - 160. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -17, -9, 7, 31, 63, 103?\n\"Answer: 4*s**2 - 4*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -24*g**6 - 3145*g**5 + 95573*g**2 wrt g?\nAnswer: -2880*g**3 - 188700*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19 + 39. Let c be 220\/(-8)*(-24)\/g. Let n be -3*(1 - 28\/6). What is the highest common factor of n and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**(1\/33))\/(x\/((x*((x\/x**(-11))\/x)\/x)\/x))*(x**(-3\/5))**(-2\/43))**(1\/35) assuming x is positive.\nAnswer: x**(70933\/248325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.3677 + -0.37. What is r rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(24\/(-4))\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.4  (b) 2\/7  (c) 0  (d) 2  (e) 175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 6 - (-14 - (-5 - (1 - -6)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2681?\nAnswer: 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 167845873 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11 + 14. Solve 0 = 2*h + a*f - 4, 0 = -h - 5*f + 4 - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -486*g**2 + 31368 - 31368 - 8612*g**2 to f*g**2 + j + p*g and give f.\nAnswer: -9098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 87 and 290.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 660240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-1 - 19) + 16)\/(2\/(-2885)) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 934 + -934. Which is smaller: a or 4\/33?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 13*h + 1. Calculate the least common multiple of g(3) and -75*(980\/(-42))\/35.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4534334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*((g**(-5)*g)\/g)\/g*g*g*g**2)\/(g**(-1)\/g*(g\/((g**7\/g)\/g))\/g)*((g\/g**0)\/((g\/g**(-3))\/g))\/(g**(-3)\/g*g**3*g) assuming g is positive.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k. Let i(j) = -2996*j + 17. Determine i(r(t)).\nAnswer: -2996*t + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 230859947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3329 - 14.\nAnswer: -3343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-2)*(50 - 58) + 41 + (7 - 7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 40687273*s*y - 20*s + y**2 - 11809492 wrt y?\nAnswer: 40687273*s + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 151*c + 308 + 2420*c + 866*c + 576*c + 585*c wrt c?\nAnswer: 4598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.072 - 4.928. What is the third biggest value in t, 3\/2, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3118*w + 6872*w + 29*w.\nAnswer: 10019*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 21731, 27550, 33379, 39224, 45091, 50986?\n\"Answer: y**3 - y**2 + 5815*y + 15916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13910*n**4 + 2243*n**2 + 3 wrt n.\nAnswer: -333840*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15473 is divided by 342?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2841 and -1106?\nAnswer: 3947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9)\/12 - (0 - 1). Let u = -0.1 - -0.3. Let p = -0.8 - u. Which is the nearest to y?  (a) p  (b) -0.5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 - 1531?\nAnswer: -1529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w = -2*m - 12, 16 = 31563*m - 31567*m + 4*w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.26 - 3.665541.\nAnswer: -3.925541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/1*4*4\/16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 2*h**2 - 13*h + 7. Calculate the remainder when 27 is divided by p(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11356*c**3*v**3 + 65*c**3*v - c**3 - 3*c*v**3 + 49*c*v + 2*c - v**2 wrt v?\nAnswer: -68136*c**3*v - 18*c*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -49, -99, -149, -199, -249?\n\"Answer: -50*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5352 and 4829288?\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3749, -7496, -11243, -14990, -18737?\nAnswer: -22484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13019*y**3 + 67451*y**3 + 10765 - 5382 - 5383.\nAnswer: 80470*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 1437445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange t**2 - 10*t**2 - 18*t**2 - 5*t**2 to l*t**2 + o + b*t and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (15\/(-2))\/(36\/(-24)). Suppose -v = 0, 0 = -y*s + 3*v + 2939 + 3331. Is 38 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 + 6. Let q be 40\/(0 + -5)*(-7)\/(-4). Let w = q + 14. Solve 0 = -4*i - w + p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - -ab8?\nAnswer: abd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**2 + 7*t + 16. Calculate o(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 q when two letters picked without replacement from {v: 1, q: 1, m: 1, h: 1, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2 + 1064*g.\nAnswer: 2*g*(g + 532)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the first derivative of -w**2\/2 + 5*w + 1. Let t be g(4). Is (1\/1)\/(t\/26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1009?  (a) -0.1  (b) -3533  (c) -1\/2  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b + 180 = 25*b - 40*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 490542235?\nAnswer: 5, 2417, 40591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 0) + (0 - -49) - (5 - 0 - -3).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**3 + 6*p**2 - 4*p - 4. Let y be i(4). Let d = 26 - y. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 + 4*a**2 + 10*a - 7. Let b be (-4)\/3*(297\/(-6))\/11. Calculate i(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 0*z + 0*z)*(-3*z + z + 4*z)*(6*z - 3*z**3 - 6*z).\nAnswer: 12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -12*r**2 - 176*r - 120. What is y(-14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z**2 + 10060434*z - 25303083067089 = 0.\nAnswer: 5030217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -0.62130348, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(343) - sqrt(343)*-2*2) + -1 + (2 + sqrt(343) + -2)*3)**2*4.\nAnswer: -448*sqrt(7) + 87812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3898*x**3 - 31*x**2 + x - 2491195.\nAnswer: 11694*x**2 - 62*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -83 - -119. Suppose 3*y = h + 9. What is the greatest common divisor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-70)\/(-10)*69\/161. Let a(p) = 5*p + 2. Let k(g) = 4*g + 1. Give x*k(f) - 2*a(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 177 + -172. Suppose x*z - 15693 = -4*p + 10632, 2*z - 2*p = 10512. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 584\/115 at most as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9968219 is divided by 3322723.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**3 + 2*u**2 + 4*u - 1. Let a(n) = 18*n**3 + 9*n**2 + 19*n - 3. What is -2*a(c) + 10*h(c)?\nAnswer: -26*c**3 + 2*c**2 + 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - (-4 + 0)) + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138948 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 7*c**2 + 690*c - 301. Let q be h(-99). Let u(w) = 1. Let n(l) = -2*l**2 - 5*l - 9. Give q*u(y) - n(y).\nAnswer: 2*y**2 + 5*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/9 and -3\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 631159 smaller than 631249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 + 2*y**2 - 2*y + 1. Let z be t(-3). Let d be z - (1 - -13)\/1. Let p = d + 51. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -698 - -703. Let b be (-2)\/(-8) - 21\/4. Let f(t) = t**2 + 5*t. Let j be f(b). Solve -4 + j = -m, -5*m - y = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 132980, -36 in descending order.\nAnswer: 132980, 0, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1436223065*c**3 + 1198339799*c**2 wrt c.\nAnswer: -8617338390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3232388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101010 - 1111110101011010010?\nAnswer: -1111110101010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-11)\/33)\/(1\/(-9)). Solve p*d = 1 - 10 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -390963*x**4 - 10167204*x**3 - 66129066*x**2 - 366132*x - 507 = 0.\nAnswer: -13, -1\/361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 707698*k - 707701*k + x + 8, 8 = 2*k + 2*x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/(3\/(-2))*(-888)\/(-16). Let t = n + 51. Suppose 4*o - t = -3*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**3 - 5*q**2 - 15*q + 86. Determine p(7).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -455819, -911694, -1367559, -1823408, -2279235, -2735034, -3190799?\nAnswer: -3646524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.634 - -4.2. Let x = s - 59.166. Round x to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29114669 + 2*z**3 + 29114669 - 3*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 290642 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 3*c - 2*c + 17 = 0, -34*p = -30*p + 3*c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-3)\/3)\/(2\/14). Let m = 11 + w. Suppose 0 = -3*g + m*g - 9. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59386711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/1578061 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3228 = -2*v - 10*v. Let y = v + -187. Calculate the remainder when y is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 124 and 186494326?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 17*a**2 - 3315*a - 2 + 3319*a + 45*a**2 in the form s*a + d*a**2 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 29 and 11.782.\nAnswer: 341.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 2487*m + 34824. Suppose -h + z = -75, 3*h + z - 6*z = 215. What is the least common multiple of h and j(-14)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 131975 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 + 2*14\/(-4). Let j = 14 + l. What is the lowest common multiple of j and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -78 = 3*q + 2*q - g, 34*q + 284 = -8*q + 2*g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 2\/5 - 1254\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13658 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -9*w + 10. Suppose w = 5*a - 8. Let v = a - 4. Let f(o) = 2*o - 1. What is f(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 6*u**3 + 2*u - 2*u**3 + 0*u - u. Let c be m(1). Solve c*j + 0*j = 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 + 25. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/5, -0.2, -11, 2\/13?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of -q**4\/6 + 18*q + 6. Let j(o) be the first derivative of f(o). Let r(t) = -2*t. What is r(j(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13167 + 13174. Solve -t*z = 21 - 56 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18070410 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 139 = 2873*h - 2875*h, -2*h = -3*b + 481. What is the remainder when b is divided by 56?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 45488 and 4?\nAnswer: 45488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 12, 0 = -5*k - 9*v + 103 + 18. Let l(n) = 11*n + 41 - n**2 - 2*n + 14*n. Is l(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 + 0)\/(-7 - -5 - -3). Let q = -310419\/20 - -15527. Calculate the common denominator of (8\/32)\/(u\/89) and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 119 + 1 = 0. Suppose -8*o + 2*o = -x. Suppose 0 = -2*u - 2*p + 72, 3*u - o*p - 162 = -u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1543 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -h**2\/3 - 480515*h\/3 + 961034\/3 = 0. What is h?\nAnswer: -480517, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1100) - (-1 + sqrt(1100))) + 5)**2 + -2*(sqrt(1331))**2*2 + -5.\nAnswer: -5293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.6?  (a) 66  (b) -3  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g - 2*g + 10*g)*(-g**4 - 2*g**4 + 0*g**4).\nAnswer: -24*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.06 + 1.06. Let u = 38.3 + -37. Let v = 0.9 - u. What is the nearest to y in -2\/3, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1223.429 + -1224. What is l rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000019722773 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 AM and 11:54 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 67708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5.68 - -0.02. Let x = m - 0.7. Let p = -36 + 109\/3. What is the nearest to p in -1\/8, x, -1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the third derivative of f**8\/10080 - f**7\/420 - f**5\/12 + 2*f**2. Let j(t) be the third derivative of v(t). Let w(l) = l. Calculate j(w(m)).\nAnswer: 2*m**2 - 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 24 + -6. Suppose u*o - 22*o + 12 = 0. Does 10 divide o - (-4 + -2 + -23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - -5. Suppose m*b = -b. Suppose -5*v - 25 = -b*v. Put 1, 3, v in descending order.\nAnswer: 3, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -170\/39 + 48\/13. Let t = 11.5 - -2.5. Let r = t - 10. Which is the third biggest value?  (a) -8  (b) j  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*f - 554 = -206 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from vzvgzizgggizvzvsggsg.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 748 is divided by 162.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 4*m**2 - 10*m + 19. Let v(b) = -5*b**2 + 12*b - 18. What is -6*g(a) - 5*v(a)?\nAnswer: a**2 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*z**2 - 46*z**2 + 13*z**2 + 11*z**2 + 10*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -64 + 48. Let n be (-6)\/(-8) + 460\/j. Let p = n + 48. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**3 + 5*q**2 + 22*q + 15. What is h(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 2*k + 6. Suppose -97 = 5*d - 12. Let g(t) = 6*t + 19. Let u(r) = -1. Let x(l) = g(l) + 2*u(l). Give d*m(j) + 6*x(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(76)\/sqrt(4) + -4)*-5.\nAnswer: -15*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 244927646*c**3*y**3 + 15779320*c**2*y + 2*c*y**3 - 6*y**3 wrt c.\nAnswer: 1469565876*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**3 - 3*r**2 + r. Let q be p(2). Let i(a) = -10*a + 2*a - a - a - 8*a**3 - 1 + 11*a. What is the tens digit of i(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 2*r**4\/3 + 62968*r**3\/3 + 165269998*r**2 + 2973097100*r\/3 + 3963457936\/3 = 0.\nAnswer: -15739, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 267150 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r**2 + r**2 - 8*r**2)*(-1 + 1 + 1 + (2 - 5 + 1)*(0 - 2 + 0) + (1 - 4 - 5)*(-3 - 4 + 4)).\nAnswer: -203*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - (-3 + -2)) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**4 + v**3 - v**2 + v. Let g(k) = -7*k**5 - k**4 + k**3 + 2*k**2 + k. Let x(f) = 2*g(f) - 2*l(f). What is the third derivative of x(p) wrt p?\nAnswer: -840*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5219 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 32447.\nAnswer: -3\/32447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 31615535 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 244967?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 75600.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 2297 = 5*m, 279 = m + 4*w - 177. Let j = m - 2767\/6. Sort j, 4, -5, -1\/3 in descending order.\nAnswer: 4, -1\/3, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001419838 rounded to 7 decimal places?\nAnswer: 0.0000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39681266 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/3 in 4, 3, -38\/3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 + 17*i - 15. Let s be p(16). Suppose -13*z - 6 = -15*z. Solve -k + z - s = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 - -2. Let m = 6 + -4. Let n = -2950.5 + 2950. Which is the nearest to 3?  (a) n  (b) m  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1034 or -2?\nAnswer: -1034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 307423 is divided by 153707.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89*a - 81*a + 24 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1900 and 760?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2040)\/153)\/((-2)\/99). Suppose -41*p = -21*p - j. What is the remainder when 108 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 33*t + 21. Suppose 4*q = -5*h - 10, 3*q = q - 5*h. Let b(r) = 8*r + 8. Let d(m) = 8*m + 7. Let x(s) = -2*b(s) + 3*d(s). Give q*c(z) + 21*x(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (7\/(-3) + 2)*-9. Let i be (-48)\/(-26) - ((-1)\/(-6) - 125\/390). Factor 27*k**i - 89*k**3 + 178*k**3 + 6 + 21*k - 74*k**s + 3*k**4.\nAnswer: 3*(k + 1)**3*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -19*l + 1. Let y be f(2). Let s be -43 - 7 - (-2*1)\/2. Let z = y - s. Solve 0 = a + 3*a - z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(1100) - sqrt(1100))*-5)**2*-5.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -6.2 * -488\nAnswer: 3025.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(96)\/sqrt(48))\/(2*sqrt(324) + sqrt(4)).\nAnswer: -1 + sqrt(2)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**3 - 12*y**2 - y + 18. What is the remainder when 88 is divided by a(-12)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1468627 times -0.4?\nAnswer: 587450.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add 9.2 and 4.\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/91730 and -76\/3.\nAnswer: 275190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbsb when four letters picked without replacement from {s: 10, b: 4}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -698*b**3*f**2*v - 20*b**3*f*v - 2*b**3*f - b**2*v + 6*f*v wrt f.\nAnswer: -1396*b**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1*1\/(-4)*-2*-2. Suppose -5 = b - 7. Sort 9, k, b in decreasing order.\nAnswer: 9, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 119*p**2 - 32*p**2 + 34*p**2.\nAnswer: 121*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/14*38\/3 - (-5688)\/(-36).\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzxz when four letters picked without replacement from {y: 3, o: 2, x: 2, z: 3, p: 10}.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 6*n - 21. Let w be u(6). Suppose 2*b + 12 = 4*l, 4*l + 4*b + w = 39. Suppose 358 = l*a - c + 3*c, 3*c + 191 = 2*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(3\/10)*m)\/((m*m*m**3)\/m) assuming m is positive.\nAnswer: m**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -57547 divided by -131.\nAnswer: 57547\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 6) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -60.75 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6\/17 in 2\/5, -5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 43.793366 to the nearest integer.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23191 is divided by 10532.\nAnswer: 2127","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (-6 + (2 - -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, -12, 2\/7, -1\/4, 2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12011210201 - -111002?\nAnswer: -12011022122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 62 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(2\/(-2))*(-24)\/324\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (29\/((-4785)\/30))\/(25\/((-1375)\/60)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -59 equal to 0.31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 46 and 14743?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 + 7*j**2 + j + 12. Let b be u(-7). Let f(o) = 16 - 32 - o + 14. What is f(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4915*t - 5393*t + 21032 for t.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-21)\/(-6)*8\/14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -11*d**2 + 31*d - 3. Let x(k) = -9*k**2 + 32*k - 4. Calculate 4*p(f) - 5*x(f).\nAnswer: f**2 - 36*f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -10423440 (base 8) in base 12?\nAnswer: -8bb340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 42546, 85102, 127662, 170226, 212794?\n\"Answer: 2*s**2 + 42550*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in thirteen fifths of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 - (10 - (5 - -1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 57 - 49. Solve 3*i + 4 = -x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -1*sqrt(68) + (5 + 0 + sqrt(68))**2 - ((sqrt(136) - (sqrt(136) + (1*sqrt(136) - sqrt(136))))*-5)\/((sqrt(8) - sqrt(8)*-2)*-4)) + 1.\nAnswer: 18*sqrt(17) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11316 + 10137. What is the biggest value in 0.3, -4, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 + 4 - (-17 - (-19 + -14))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 52 - 36. Let q = -1 + n. Solve -3*j + q = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 421 - 415. Which is the nearest to 0.2?  (a) 4\/5  (b) s  (c) -2\/3  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 - (-3 - -5))*-1. Suppose -6*n + 3*n = -o*m - 8, 0 = 5*m + 20. Suppose -5*d - 7 + 12 = n. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.157 + -4.843. Let m(x) = -x**2 - 2*x + 2. Let k be m(1). Put -4, s, 4, k in descending order.\nAnswer: 4, k, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 8, -31198, 3 in descending order.\nAnswer: 8, 3, -1, -31198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the second derivative of p**4\/2 + 36*p**3 + 1836*p**2 - 326*p - 2. What is the first derivative of d(k) wrt k?\nAnswer: 12*k + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 58 = -2*l + 3*l, 2*v = 3*l - 224. Let c = l + -58. Calculate the least common multiple of c and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65 = -9*u + 34 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/3)\/q**(-3\/2))\/(q\/(q**(-1)\/q))**(-2\/43)*(q**(5\/6)*q*q*q)\/(q**(-5)*q)*q**(-2\/23)*q*q*q\/(q*q**6\/q)*q*q assuming q is positive.\nAnswer: q**(8953\/989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -685*m - 737*m + 1426*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -21, -24, -25, -24?\n\"Answer: g**2 - 6*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 11) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 21978248419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l + 5*l + l)*(2*l**2 - 2*l**2 - l**2) + (0 - 3 + 5)*(3*l**3 - 2*l**3 + l**3) - 5*l**3 + 0*l**3 + 3*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -3 + -8 + -4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 10:13 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.04 and 16929.\nAnswer: 16929.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2618\/38 + (-24)\/(-228). Let v = m - 62. Solve 0 = 2*b + 9 - v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2 - 2*s. Let j be q(-2). Suppose -2*i = 3*g - 7, -i + 5*g - 9 = -4*i. Suppose 2*v + 4 - i = 0. Solve v*n + j - 6 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -407, -406, -405, -404, -403?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 112435601*m**2 - 408505926?\nAnswer: 224871202*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -44 - 2*j + 2*j**3 + 2*j**4 + 0*j - 3*j**2 + 41 to u + w*j**3 + t*j**4 + l*j**2 + o*j and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17*f*k**2*r**3 + 3*f*k*r**2 - 4*f*r**3 - 3*k**2 wrt r?\nAnswer: -102*f*k**2 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -835, -1674, -2513, -3352, -4191, -5030?\nAnswer: -5869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-46)\/(-1)*15\/(-6). Suppose -130 = -2*j + 110. Let q = k + j. Solve -3*n + w + q = -6*n, 2*n - 4*w - 6 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 124*c - 265. Let t(s) = 83*s - 177. Let h(v) = 5*k(v) - 7*t(v). Find the first derivative of h(p) wrt p.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 3*c**2 - 154*c + 1042. Give l(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3032133 (base 4) in base 11?\nAnswer: 9a24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27566 = 4*i - 2*c, 4*i - 34459 = -i + 2*c. Let t = -41261\/6 + i. Find the common denominator of t and 7\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2060 + -2060.4. Which is the second smallest value?  (a) 23  (b) 0.115  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 5) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -16.6 greater than or equal to -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mh when two letters picked without replacement from emmimimgymhiiimymie?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*v - 3528 = -47*v. Let n = v - 313. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -376345 - -153?\nAnswer: -3761b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 96 = 92 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, h: 5}. What is prob of picking 2 h?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + -672002?\nAnswer: -672001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, -3229\/4, 0.4, -0.3, -45.35?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -22*s**5 + 18*s**5 + 21*s**5 + (s**4 + 4*s**3 - 4*s**3)*((2*s + 4*s - 4*s)*(-5 - 2 + 3) + 2*s - 4*s + 3*s) - 2*s**5 + 5*s**5 - 2*s**5 - 2 + 2 + 2*s**5.\nAnswer: 13*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 (base 8) in base 3?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 286664081?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 68018 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 4*x + 22. Let m(l) = -2*l - 7. Let c(z) = -1. Let j(w) = x*c(w) + m(w). What are the prime factors of j(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 2*k**2. Let m(g) be the first derivative of -g**2\/2 - 56*g - 123. Give n(m(s)).\nAnswer: 2*s**2 + 224*s + 6272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15448913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 86.91 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-38872)\/(-40) - 1\/(-5). Let f be r\/4 - (-1 + -3). Let c = 492 - f. What is the greatest common factor of 35 and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(847) - (-2*sqrt(847) + 3)) + 3 + 3*sqrt(847))**2 + (sqrt(847) + (3 + -1 + sqrt(847))**2 + sqrt(847) - sqrt(847) - sqrt(847)) + 0 + 3.\nAnswer: 44*sqrt(7) + 31346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 2)*(4 - 5 + 12)*(-66*c + 127*c**3 + 66*c).\nAnswer: 1397*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 41167747843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 144 divided by 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8162299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j. Let q(z) = -111*z + 27. Let v(n) = -16*n + 4. Let r(u) = -4*q(u) + 27*v(u). What is c(r(l))?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, m: 2, g: 1}. What is prob of picking 1 a and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -21, -46, -69, -90, -109?\n\"Answer: c**2 - 28*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*m + 13*m**2 + 26*m - 89*m**2 + 22*m**2 + 14*m**2 to the form f + l*m**2 + s*m and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -262 + 253 = -g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tw when two letters picked without replacement from stwsthoshs?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 7) to base 2.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - 8 - 2 = -5*n, 5*v = -3*n + 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 8957603, 8957603, 8957601, 8957597?\n\"Answer: -g**2 + 3*g + 8957601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1164 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zfllnunnzwznn. What is prob of picking 1 n and 1 l?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 283 - 59 = 2*g. What is the highest common factor of 40 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -13705 - 7355. Suppose -30*y + o = 15*y. Suppose -2*v = -5*v + 72. Calculate the remainder when y is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -125 - -125.0792. Let g = -0.2598 - j. What is g rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - 2*m + 1, u + 5*m + 2 + 6 = 0. Let h = u + 23. What is the highest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -31486 + 1?\nAnswer: -31485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of g**3*j**2 - 2*g**3 + 20*g**2*j**3 + 4*g*j - 2*g + 2*j**3 wrt j?\nAnswer: 2*g**3 + 120*g**2*j + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**3 + 20*x**2 + 42*x.\nAnswer: 2*x*(x + 3)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-15665)\/482*(-32)\/(-10). Is -47 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*z**2 - 2*z**2 - 3*z**3 - 2383 + 1161 + 1222 + 6*z**4 + 10*z as d*z**2 + h*z**3 + w + n*z**4 + a*z and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 18545*l**3*r**4 - 2*l**3*r**2 - 1203*l**3 + 2*l**2 - 3*r**4 - 2*r**2 + 5*r wrt r.\nAnswer: 445080*l**3*r - 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 7189500 to the nearest 100000.\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (((1\/(-4))\/1)\/((-123)\/(-328)))\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 7}. Give prob of sequence ii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2104 and 196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 765 = -3*m. What is the remainder when m is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6748.9 to the nearest 100.\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 4:39 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19 + -12. Let w(b) = 11*b - 15. Is w(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -15*w. Suppose 3*j = -0*j + 6. Let o(u) = u**2 + 6*u**j - 6*u**2. What is o(i(a))?\nAnswer: 225*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -65\/77 + 14\/11. What is the fourth smallest value in 2, -2\/7, 0, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 166346, 166333, 166314, 166289, 166258, 166221, 166178?\n\"Answer: -3*i**2 - 4*i + 166353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 140 and 59069738.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 3*v + 0*v + 4*v**2 + 3 + 0*v**2 - 5*v**2. Let h = -99 - -103. Suppose -12*a - 32 = h. Let o(q) = -4*q - 4. Calculate a*o(y) - 4*u(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.8 + 1. Let k = -103\/84 - -10\/21. Let s = 2.02 + -0.02. Which is the smallest value?  (a) s  (b) k  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 59286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4419.7 + -4613. Let u = q - 3.7. Let g = u + 197.0214. What is g rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50001 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 981 and 108237?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6 + -3)*(-20)\/6. Let n be (-3)\/(6\/s)*-4. Let o = n + 50. What is the greatest common factor of o and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/4 + 14\/((-336)\/(-30)). Is 12\/17 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -36 - ((-28)\/(-4) - 4). Let d = k + 39. Solve -3*c = w - 2, 3*w = 4*c - d*c - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 49*c**2*u**3 - 12*c**2*u + 414*c*u**2 + 62*u**4 wrt u.\nAnswer: 294*c**2 + 1488*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -15. Let q(a) = -a**2 - 1. Give -15*q(x) + w(x).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -29, 0, -2, 9 in ascending order.\nAnswer: -29, -2, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 60517702 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from bzjmfhmmmffb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 3*b = 3*c + 12, -4*c - 16 = 0. Suppose d + x = 7, b = -5*d + 5*x - x + 17. Suppose -2*p + 22 = 4*r, -d*r - 2*p + 29 = p. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -424 - 145?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10.14381m to centimeters.\nAnswer: 1014.381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fbbbfffffbf. Give prob of sequence bb.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 193042.8 millilitres in litres?\nAnswer: 193.0428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 19856113?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -542.5 rounded to the nearest 10?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19 + -73. Let y be (8\/(-24))\/(2\/x). Suppose 0 = 2*m + 9 - y. Solve -d + m = 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.1 - 0.3. What is the second biggest value in -0.1, b, 6\/11, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21220 - 11121010?\nAnswer: -11220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q - 25 = -2*n, -908*q - 915*q = -1784*q + 2*n - 263 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21207971*h**3 + 4781572*h**2 - h + 2 wrt h?\nAnswer: 127247826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -1, 3 in increasing order.\nAnswer: -1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11062982.\nAnswer: 2, 7, 503, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 1\/6  (b) 2\/5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 5244, 5247, 5250, 5253, 5256, 5259?\n\"Answer: 3*w + 5241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d**0*d*d))**(7\/6)*d**(-5)*d**(-3\/4))\/(d**0\/(d\/(d*((d**0*d*d*d*d*d)\/d*d)\/d)))**(16\/3) assuming d is positive.\nAnswer: d**(-113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3\/3 - 457*b**2\/3 + 1936*b - 5328.\nAnswer: (b - 444)*(b - 9)*(b - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 7826460 divided by -15?\nAnswer: -521764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*z**4 - 26474*z**3\/9 - 32380*z**2\/9 - 5888*z\/9 = 0. Calculate z.\nAnswer: -1, -2\/9, 0, 1472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 43 + -11 + (15 - (19 + -2))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 11413 + 4?\nAnswer: 11422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 7*c - 102. Give n(-15).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -9834, -39908, -90024, -160176, -250358, -360564, -490788?\n\"Answer: r**3 - 10027*r**2 + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p + 4. Let u be l(5). Suppose 43 - u = 2*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -24 less than or equal to -560\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 422786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 456 (base 10) to base 14.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4.02 + -0.02. Let a = -57135 + 57140. Suppose m - 24 = 5*q, -4*m - 22 = 4*q - 2*m. What is the second biggest value in q, a, -1\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 441, 913, 1369, 1803, 2209, 2581?\nAnswer: 2913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 758960 and 758790 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1981242391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -5*p**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 551 + -539 - (0 + -3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the second derivative of -17*q**5\/5 - q**3\/3 + 57*q**2\/2 - 23*q. Find the second derivative of v(j) wrt j.\nAnswer: -408*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1334 and 782.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the first derivative of -9*u**2\/2 + 3. Let q(z) = 6*z + 7. Let w(n) = 4*n + 5. Let x(h) = -5*q(h) + 7*w(h). Calculate f(x(j)).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -63595 (base 12) to base 4.\nAnswer: -133312001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1216*w + 3870 = -1127*w + 2433*w for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 - 3*g**2 - 2. Let s(f) = 4*f**3 - 9*f**2 - 7. Let h(t) = 21*o(t) - 6*s(t). What is the third derivative of h(d) wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (31 + -26 + -4)*936607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 26 - 6. Suppose 0 = 5*m - 5*q - k, 0*q - q + 16 = 4*m. Calculate the highest common factor of 32 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -11*n**2 + 3*n - 5. Let g(c) = 6*c**2 - 2*c + 3. Calculate -7*g(u) - 4*x(u).\nAnswer: 2*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -14, 5, -91 in decreasing order.\nAnswer: 5, -4, -14, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-22)\/55)\/(2\/(-50)). Suppose 0 = b + 1 - z. What is the highest common factor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rdrpppzzppppzzpdpdp. Give prob of picking 2 d, 1 r, and 1 p.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (10\/5)\/(4\/14). Suppose v*k - 2*k = -5. Which is greater: -2\/25 or k?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, 1\/5, -297 in increasing order.\nAnswer: -297, 1\/5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*s + 0*s + 388302590 - 388302590 + 3*s + s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 146.74 from 31.\nAnswer: -115.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = 3*h + 30 - 61, -4*h + 40 = 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 13 = 3*c. Suppose 0 = 98*v - 100*v + 50. Calculate the highest common factor of c and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x + 4*m + 2, -4*x + 3*m = x - 95. What is the lowest common multiple of x and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 11 + 12*t - 3*t - 4*t - 4*t + 4*t**2 + 12*t. Let g be n(-3). Solve -v - 2*l + g = l, 0 = 4*v - l + 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -27?  (a) 3  (b) -2324  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/25688 and 149\/2028?\nAnswer: 77064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -502099436*b**3 + 1441*b**2 + 22978?\nAnswer: -3012596616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(850)*1 - sqrt(850))\/(sqrt(2)*2*-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/4)\/(84\/70)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:05 PM and 4:35 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 38654 divided by 14?\nAnswer: 2761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**3 - 7*f**2 - 15*f - 12. Determine s(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (77*1)\/((-6)\/12). Find the common denominator of 3 - 7\/(q\/4) and (174\/(-10))\/((-6)\/4).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 12\/(-24)*1*8. Calculate the least common multiple of (1 + (-1)\/(-5))*5 and (l - 35\/(-10))*-22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 7 - 30?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-32) - (-1540)\/224\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10110110010100 (base 2) to base 15.\nAnswer: -36cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, v: 3, z: 1}. What is prob of picking 1 z and 1 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 596efe + 3?\nAnswer: 596f01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 79?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g + 5*g + 0*g)*(-4 - 4*g + 4).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -2*d + 10. Let a be y(5). Suppose a = -5*h - c + 627, -633 = -h - 4*h + c. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(25)\/(4*sqrt(5) - sqrt(5)) - sqrt(5)) + 2.\nAnswer: -2*sqrt(5)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 823*g + 830*g + 122 = 1649*g + 2*o, -4*g + 3*g - 5*o - 14 = 0 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) 6\/11  (c) 0  (d) 19  (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 9*w**3 + 3*w**2 + 2*w - 3. Suppose -20*s + 14 = -15*s + 3*b, -2*s = 3*b - 11. What is h(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (-4 - 19) - (615 + -644).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 20665180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-413)\/((-59472)\/(-108)))\/(2\/16*-5)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11108?\nAnswer: 2, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d - 4. Let a be s(8). Suppose 200 = -9*h + 47. Sort h, 2, a, 1.\nAnswer: h, 1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1\/4)\/n**(-14))\/((n\/n**8*n)\/n*n**(2\/7)) assuming n is positive.\nAnswer: n**(573\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1796008?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/10*(-30)\/18. Let w be ((10 - 4) + -3)*-1. Which is the second biggest value?  (a) 5  (b) d  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p + 4*p - 5*p + (-4 + 4 + p)*(-1 - 3 + 2) + 2*p + 0*p - 5*p)*((2 - 1 + 1)*(2*p**2 - 4*p**2 + 4*p**2) + 3*p**2 + 0*p**2 - 5*p**2).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3010, 4, -5, -1\/6?\nAnswer: 3010","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-398)\/(-199)*(-58)\/60 + 3\/5. Sort -2, 3\/7, -0.04, a in descending order.\nAnswer: 3\/7, -0.04, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3758?  (a) 1  (b) 0.5  (c) -3  (d) -0.3  (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -52*p. Let d(m) be the third derivative of -m**5\/30 + 5*m**3 - 188*m**2. What is r(d(q))?\nAnswer: 104*q**2 - 1560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**2 + 25. Let y be (0\/(-1))\/(10\/2 - 3). Suppose -5*w + y*w = 5*w. Give l(w).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -13 - (-833)\/63 - 168\/270. Is 38934 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -2*s**3 + 82*s**2 - 11*s + 28. Let m be i(40). Factor m - 5178*t**3 + 5183*t**3 - 270*t**2 + 4860*t - 31948.\nAnswer: 5*(t - 18)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11101001001011011100 - -101?\nAnswer: 11101001001011100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -521*p - 2080 = -361*p for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1682 - 983. Suppose -w - 2588 = -u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttdttxdyax. What is prob of sequence yda?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 74744, 306020, 691480, 1231124, 1924952?\n\"Answer: 77092*l**2 - 2348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -v**2 + v**2 - 5*v**2 + 2*v**2 - 25*v to the form s + l*v + x*v**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-632 + 34*i + 632)*(-i + 2*i + 0*i) + (-2*i + 2*i + 2*i)*(-i + 4*i - 2*i + (3*i - i - i)*(3 + 0 - 2)).\nAnswer: 38*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2268 + 2304. What is the remainder when 7198 is divided by l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 17.3 - 24.3. What is the second biggest value in -6, -0.5, d, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60 is divided by 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.2568 - -0.4307. Let c = 9.8961 + i. What is c rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3734981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + -2 + -3 + -2 + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5550 + 5725. Solve 31 = 72*t + s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.05 and -55575.\nAnswer: -55574.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**2 - 7*z + 1. Let v be x(-9). Let i = v + 27. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 281921, -2, 24, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 77 * 0.5\nAnswer: 38.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1056 = 51*z - 139*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 158 + -86. Suppose -p - 8*p = -r. Suppose 2*j - 5*h + 19 = 0, 4*j - 3*h - h = -p. Solve u + 4*l = -15, u + 3*l = -7 - j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76690620527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o - 2*o + o)*(-4*o**2 - 3 + 3 + (1 - 2 + 2)*(-4*o**2 + 3*o**2 + 2*o**2) + 1 + o**2 - 1 + 30*o - 30*o - 6*o**2).\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 538155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 104717 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 234 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (5 + (-1 + 3 - 1))\/2. Let g be (-4 - y\/(-1))*-3. Solve -2*f = -m - 1 + 5, -g*m - 2*f = 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -19*t. Let p(i) be the first derivative of i**2 - 33. What is a(p(s))?\nAnswer: -38*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1170.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*p + 330 = 31*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (123\/(-82))\/((-3)\/((-30)\/5)). Which is the nearest to n?  (a) -2  (b) -0.1  (c) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.2385385ml?\nAnswer: 0.0002385385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 5, o: 13}. Give prob of picking 3 c.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (138 - 77 + 124)*(-b + 2 - 2) + (2 - 1 + 1)*(-2*b + 2*b - 2*b) + 5*b - b - 2*b in the form p + v*b and give v.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5\/22128 - 35382707\/154896. Let t = -16 - -245. Let o = t + c. What is the second biggest value in -0.2, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(352) - (sqrt(352) + 3*sqrt(352)))\/sqrt(11) - (sqrt(162) + 1*sqrt(162) - sqrt(162) - (sqrt(2) - 1*sqrt(10)\/sqrt(5)))**2.\nAnswer: -162 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -1396*o. Let a(t) = 5*t**2 + 31. Give a(u(x)).\nAnswer: 9744080*x**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4132100?\nAnswer: 2, 5, 7, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -591 + -54340?\nAnswer: -54931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -2\/7, 17\/2, -65, -117?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -333, -311, -279, -237, -185?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r + 1. Let p be g(2). Let b(q) = -2*q**3 + q**2 + q. Let u be b(p). Suppose 9*o - 3*a + 250 = 7*o, -u*o - 282 = 5*a. Round o to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gaua when four letters picked without replacement from {q: 1, g: 1, u: 9, a: 4}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.8 less than -6093.4?\nAnswer: -6092.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 6 = 18. Find the third derivative of y*a**2 - 2*a**5 - 24*a**2 - 9*a**2 - 4*a**5 wrt a.\nAnswer: -360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 155 + -144. Let t = z + -10.5. What is the second smallest value in 4\/3, -4, t, -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 4*m + 863 = m, -3*h + 2*m - 649 = 0. Let c = h + 286. What are the prime factors of c?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -8*v + 40. Let x(d) = 22*d - 121. Let i(f) = 8*l(f) + 3*x(f). What is the first derivative of i(g) wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-6) - (-31)\/(186\/(-20))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h + 6. Suppose 2*z = -2*z - 12, -3*z + 6 = 5*y. Suppose 2*r = -y*r + 25. Calculate a(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - 15 = 0, 0 = -5*h + p + 3*p - 15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -5*51*456\/(-6460)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 3\/7 of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 201*d - 28*d + 60 = -286 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**3 + z**2 - 1. Let d(h) = 6*h**3 + 9*h**2 - 2*h - 6. Calculate -d(g) + 5*y(g).\nAnswer: -g**3 - 4*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1480 + -1479.7. What is the nearest to -0.15 in 0.06, 0, f, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g**3\/4 + 27*g**2\/4 - 25*g\/2 = 0. Calculate g.\nAnswer: 0, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1590559 is divided by 26507?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.25 - -2.75. Which is the third biggest value?  (a) -1  (b) x  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10882414 at most as big as -10882435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - a - 8, 5*a - 8 = d + 9. Suppose s - d*s = -68. What is the remainder when s is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2\/5, -0.0069, 4, 0.5, 40?\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1955 + -1124. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 24*c - c**3 + 99 - 50*c + 2*c**2 + 25*c. List the prime factors of k(0).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/(-3*sqrt(4)) + (sqrt(5) - 1*sqrt(5))*4 + -4.\nAnswer: -4 - sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k + 3*a - 119, -a + 130 = -5*k + 385. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 232071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 79*c - 39*c + 50*c - 2. Let k be y(2). Suppose -t - 4*v + 37 = 0, 2*t + 2*t - k = -v. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.12379 rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 35*k**3 + 6*k**3 - 10*k - 2*k**2 - 9*k + 25*k wrt k?\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -104, -181, -258, -335?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the third derivative of -v**6\/120 - v**5\/20 - v**4\/24 - v**3\/6 + v**2. Let l(t) = t**2 - t**2 - 2 - 1 + 6*t - 3*t**2. Let g be l(2). Determine s(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 0 + 3 + 6 + 12*u + u**2 + 0. Let x be r(-11). Let o be (-20)\/(-8) - x\/(-4). Solve k + 0 + o = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 164 + 166 = 0. What is the common denominator of (-2)\/(12\/h) - -1 and -99\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 4*s = -27580016, 4*a + 5*s = a - 82740020. Round a to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/16)\/(1\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-6\/7)*z*z**2*z*(z\/z**(3\/5))\/z*z**(-2)*((z**(-1\/3))**(-6\/23))**(-19) assuming z is positive.\nAnswer: z**(-893\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 179\/4738680 and 53\/1184670?\nAnswer: 4738680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u - 12*u = 0. Suppose 5*p - 2*p - 4*d - 763 = u, -d = 2*p - 516. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*(x**(-22)*x*x*x*x)\/x)\/(x*x**(3\/7)) assuming x is positive.\nAnswer: x**(-129\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1735.1588 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 129 is divided by ((-3)\/(-9))\/((-8)\/(-1104))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -324 - -328. Sort s, 5, -1, -4.\nAnswer: -4, -1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5\/6, -83, -48, 2\/7, 0, 1\/13, 0.3?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + a238575?\nAnswer: a238575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 4*d = 20, -57*n - 4*d - 5 = -56*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 171323816 to the nearest integer?\nAnswer: 13089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 227624, 227630, 227646, 227678, 227732, 227814?\nAnswer: 227930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8621?\nAnswer: 37, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38305.07 tonnes to kilograms.\nAnswer: 38305070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5464020 - 3*j + 5464020.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 7 + 7)*(0*b + 5*b - 3*b)*(6*b**2 - 3*b**2 - b**2).\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*v**5 - 3717*v**4 + 580767*v**3 - 23515467*v**2 - 74667618*v - 50567664 = 0. What is v?\nAnswer: -2, -1, 89, 1064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 - 1)*(3 + 0 - 2)*(23*z - 11*z + 4*z).\nAnswer: 48*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 1 - 1 = 0, 65 = 5*m - 5*d. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8799, -11351, -13903, -16455, -19007?\nAnswer: -21559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1057?\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 5*n - 32736, -21 = -3*n - 9. List the prime factors of v.\nAnswer: 2, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of -7*q**3 + 10*q**2 - 29. What is the second derivative of h(l) wrt l?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z = -4*u - 26, 7 = -2*z + 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 4037729 - 0.463375\nAnswer: 4037728.536625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 184*y - 87 = -189*y, 3*c - 69 = -5*y. Solve -3*h - 8 = -4*d, 4*h + 3*d - c = 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.46 + -0.46. Which is the nearest to 5?  (a) z  (b) 1\/3  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g - 405 = g. Let y = -45 + g. Suppose 4*l = 47 + 13. Solve y = m + 2*m - l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3709*f**3 - 3779*f**3 - 3740*f**3 - 3728*f**3 + 14801*f**3.\nAnswer: -155*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 - 8*l + 4. Let b be f(8). Suppose 12 = b*h - 16. Let p be 12 - (3 - h)\/(-2). Solve -4*y - p + 33 = -5*g, 16 = -2*g + 5*y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -659.2 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 113 + 148 = 0. Let c = -112 + m. Let r = c - -6565\/33. Is r at least 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 - 6. Let i be (-8)\/24*(-11 - x). Solve 4*q = 0, i*q = z - q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 2*o**2 - 3*o - 5. Determine r(6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uubbuuuuuu. Give prob of picking 2 u.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -3 - -2 - (6 + -5 + -13 - -40)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 PM and 4:02 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 13289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 17 + 3 = 0. Let u be 5*(-424)\/(-180) + d\/18. What is the greatest common factor of 60 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11425142 (base 7) to base 3\nAnswer: -1220120100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 152760 is divided by 50920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*i**2 - 4*i**2 + 5*i**2 - 73*i**2.\nAnswer: -45*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.1935 minus 262.1673?\nAnswer: -259.9738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -200375 - 75868.05?\nAnswer: -276243.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is (44\/12)\/(8\/144) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 17908, 16320, 14734, 13150?\n\"Answer: j**2 - 1591*j + 19498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 179245453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 531023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -14217743 greater than -14217746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.32 * -75646\nAnswer: 24206.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -28, -2, 0, 5.\nAnswer: -28, -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10.3 - 7.3. What is the nearest to -2 in -0.4, g, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of -t**4\/12 - 5*t**3\/2 - 13*t**2\/2 - 1232*t. Let i = -29 + 19. Calculate x(i).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -36 + 38. Suppose 114 = d - b*v, 9*d - 2*v - 456 = 5*d. Suppose 7*x = 5*x + 4*r + d, -4*x - 3*r + 217 = 0. Is 55 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24, -133, -382, -831, -1540, -2569, -3978?\nAnswer: -5827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 10) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -24, -31, -36, -39, -40, -39, -36?\n\"Answer: x**2 - 10*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 20*s**2 + 106*s + 47. Give y(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 309804 is divided by 952?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -4*r**2 - r - 2. Let q(n) = n + 1. Let l(o) = -b(o) - 2*q(o). Suppose -2*j + 114 - 8 = 0. What is the remainder when j is divided by l(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 + 2. Let q(i) = -5*i**3 - 6*i**2 - 4. Let x(u) = u**3 + u**2 + 1. Let r(f) = l*x(f) - q(f). What is the derivative of r(z) wrt z?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 63987 and 2021481?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (162\/(-810))\/(3\/30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -310*a**4*m**2 - 101*a**3*m**3 + 4*a*m**3 - 2*a - 45*m**3 + 4*m**2 wrt a.\nAnswer: -3720*a**2*m**2 - 606*a*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**2 + 16*l + 52. Let c be g(-12). Let x be 1\/c + 7\/4. Solve k = x*s + 6, s + 3*k = -0 - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of i**4\/12 + 19*i + 1. Let k(q) = 264*q. What is k(h(z))?\nAnswer: 264*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -4486, -8974, -13462, -17950, -22438?\n\"Answer: -4488*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -401152405 (base 6) in base 13?\nAnswer: -1535012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 284 - 434. What are the prime factors of (-176230)\/k + 4\/30?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 less than -24868.8?\nAnswer: -24860.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**2 - 3*q + 3. Let l = 10 - 6. Let c = l - 0. Suppose 1 = 2*n - p - 0, -4*n = -c*p + 4. Determine s(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*u + 9*u + 27887*u**3.\nAnswer: 27887*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8927, -8929, -8933, -8939, -8947, -8957?\nAnswer: -8969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 1475*o**2 - o + 3. Let h = 36 - 38. Let j be p(h). Suppose -4724 = -4*d + g, 2*g + 3*g = -5*d + j. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-147)\/(-294)*(-6)\/4*-12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 3*i**2 - 2*i - 4. Let z be a(2). Suppose -z*j + 12*j - 2592 = 0. Let r = j - 149. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z**6*z))\/z)\/(z\/(z*z**(-3\/5)*z)))\/(z**(2\/5))**(4\/3)*((z**1\/z)**(-15))**(-2\/3) assuming z is positive.\nAnswer: z**(-107\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2510717*o**4 + 1244873*o - 1?\nAnswer: 30128604*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*v**4 + 135*v**3 + 150*v**2 - 280*v.\nAnswer: -5*v*(v - 28)*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 67124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -22*o + 29. Let r(u) = 22*u - 28. Let v(l) = 4*r(l) + 3*z(l). Calculate the remainder when v(4) is divided by (-11)\/((-2)\/(-1) - 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/19?  (a) 195\/28  (b) -0.1  (c) -1\/6  (d) 4  (e) 8  (f) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1536 and 224?\nAnswer: 10752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -40 times -262\nAnswer: 10480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 4*n, -n - 14 = m - 2*m. Let c be (-14)\/63 + 1084\/m. Let i = 8 - -4. What is the greatest common factor of i and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 3*f = 0. Let l = 17\/6 + -7\/3. Factor 0 + f*p**3 + 1\/2*p**4 + 1\/4*p - l*p**2 - 1\/4*p**5.\nAnswer: -p*(p - 1)**3*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvss when four letters picked without replacement from {v: 7, n: 2, s: 2}?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z = -4*b + 20, 16 = 5*b + 16*z - 20*z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16, 76, 210, 460, 868?\nAnswer: 1476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 11, 109, -6, 51.\nAnswer: -6, -4, 11, 51, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 64, 1, -7, 5, -10 in ascending order.\nAnswer: -10, -7, -5, 1, 5, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 2 - 4 + 0 - 56*d.\nAnswer: -56*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5842062, 5842060, 5842058, 5842056?\nAnswer: 5842054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 2*u - 6. Suppose -3*i = -13 + 1. Let s be y(i). Suppose -3*d = s*d - 95. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-3*sqrt(605) + -3 + 3)**2*-3.\nAnswer: -16335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-208)\/156*6\/1)\/((-1)\/(-2))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of -w**3\/30 + 59*w**2\/20 + 61*w\/5 + 1333. Factor n(t).\nAnswer: -(t - 61)*(t + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 + 27*t + 56. Let p be (-213)\/9 - (7\/12 + (-3)\/(-4)). Give s(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(1\/5)*(n*n**(-1\/6)*n*n*n)\/n*n*n*n*n)\/((n\/n**(-2\/59))\/n**7) assuming n is positive.\nAnswer: n**(24071\/1770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 134*a - 134*a + 74*a**4 + (-a**3 + 2*a**3 + 0*a**3)*(4*a - 5*a + 0*a) as d*a**4 + o + m*a**3 + q*a + n*a**2 and give d.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*c**2 + 15*c**2 - 10*c**2 - 23*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:58 PM and 1:31 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*v + w + 32, -4*v + 118*w = 230*w - 117*w - 22 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 45384758 and 29178?\nAnswer: 3242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1*-3)\/(-3) + 2. Suppose q = -p + n, 14 = 5*q - p - 1. What is the second derivative of -2 - d**5 + 2 - q*d wrt d?\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 5776\nAnswer: -5\/5776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -326 - 49 = -3*n - 2*u, -4*n = 3*u - 499. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 11 - 10 = 0. Suppose -i = 3 - o. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (-85)\/2 - (-6)\/80*20?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -3*i. Find the second derivative of g + i*g**4 + 0*g**4 + 0*g**4 - g**5 wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2) + -4 + 2 + 5.\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f = -8*f + 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s - 3. Let f be q(-3). Suppose 5*a - a - 80 = f. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 >= 9\/890?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2599, -14, 0, -5, -2 in ascending order.\nAnswer: -2599, -14, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.23 - 0.77. Let i be 1\/(-1)*(-3)\/18. Which is the nearest to -1?  (a) x  (b) i  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -858 by 286.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1239, -1237, -1233, -1227, -1219?\n\"Answer: h**2 - h - 1239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2430 = -2*r - 4*o - 2416, 2*r + 3*o = 15 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 9581 = -2*d, 4798 = d - 90*t + 87*t. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.097 * 2652.6\nAnswer: -257.3022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16 and 8972.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -351 divided by -5750.\nAnswer: 351\/5750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -0*q - 50. Suppose -5*x + q = 0, -4*t - 5*x + 17 + 24 = 0. What is the remainder when 3\/(18\/(-28))*-3 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 9*o + 44. Let f be d(-17). Let u = f + 302. What is the remainder when u is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 37 - 36.999. Let w = -0.199 - j. Let m = 282 + -281.5. What is the second biggest value in m, w, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*l - 3. Solve 15 = -l*p - p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2453686.6 rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95 - 596 = 3*q + 4*v, 5*q + 1145 = -5*v. Let j be ((-5)\/(q\/(-36)))\/(4\/(-50)). Solve -9*r = -14*r - j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 33, 22, 11, 6, 13, 38, 87?\n\"Answer: a**3 - 6*a**2 + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -284634.71899 rounded to zero dps?\nAnswer: -284635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -62.5 times -154681\nAnswer: 9667562.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7361 + -6248. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4, -18 in increasing order.\nAnswer: -18, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 2*w**2 + 14*w + 10. Is p(-10) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*h + 18492541 - 18492541 - 3*h - 7*h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the third derivative of a**4\/24 + 5*a**3\/6 + 8*a**2. What is m(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/9, 2\/35, 8\/5, 10.61?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 560527 greater than 560558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1236 a factor of 32462000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**7)\/(f**(-8)\/f)*(f**(-1\/5)*f)**(-28) assuming f is positive.\nAnswer: f**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 196442.2 hours in nanoseconds?\nAnswer: 707191920000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/15955, -0.2, -5, 5, 3, 6 in increasing order.\nAnswer: -5, -0.2, -1\/15955, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -0.542\nAnswer: 3.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 8bb9a (base 14) in base 3?\nAnswer: 122021010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -52*p**4 + 5277977*p**2 - 863401683.\nAnswer: -208*p**3 + 10555954*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 + 0. Let i(y) = 7*y + 3. Let v be i(3). Suppose -o = u - v. Solve -11 = 4*p - t - 30, -u = -3*p - 4*t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64050.81kg in tonnes?\nAnswer: 64.05081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-10)\/((-80)\/12) + (-2)\/2. Let g be 1*-2 - 44\/(-16). What is the second smallest value in g, t, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of s*x**3 - 11614*s*x**2 + 3071821*s*x - 9*x**3 + 2*x**2 wrt x?\nAnswer: 6*s*x - 23228*s - 54*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one tenth of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 81 + -76. Let 3*a**2 - 2*a**2 + 5*a - m*a = 0. Calculate a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14 - 9. Suppose -3*u = b - 7, x*u + b + b = 11. Solve 2 = q - 3*s, 0 = -u*q + 3*s + s + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(13) + (sqrt(13)*-2)**2)*-4*-5.\nAnswer: 80*sqrt(13) + 4160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 5 + 2 - (34 - 34).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(60)\/(sqrt(15)\/(sqrt(3)*-4)) + 0)**2.\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 4 + 4 = 0. Suppose -3*s + 6 = -5*s, 24 = 2*h - q*s. Let g(z) be the third derivative of z**4\/24 - 2*z**3\/3 + 2*z**2. Determine g(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -198*t + 128*t = -108*t + 266 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 95247080 to the nearest 10000.\nAnswer: 95250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 AM and 5:48 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5 - (-1)\/(3\/(-6)). Suppose -7 = n*f - 37. Is f\/35 - (-145)\/7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -1601*f**3 - 10*f**2 + 22*f - 1. Let m(c) = 1601*c**3 + 12*c**2 - 21*c. Let i(z) = -5*m(z) - 6*r(z). Find the second derivative of i(s) wrt s.\nAnswer: 9606*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(475))**2*-5 + -1*sqrt(475)*-2.\nAnswer: -9500 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 divided by 152?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.2, -0.01, -5, 69?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 507.84 + -508. Sort 9, -2\/15, -0.4, a.\nAnswer: -0.4, a, -2\/15, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**3 - 11*d**2 + 13*d + 15. Let b be t(-12). Let h = b - 3. Let j = -2 + 3. Solve h = -z - 2*r - j, 4*z - 12 = z - r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 185*l**3 + 5*l - 9. Let y(t) = -185*t**3 - 3*t + 6. Determine -2*u(r) - 3*y(r).\nAnswer: 185*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 80401 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 823052 is divided by 1817?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*v - 9 + 10 + 0 - 45 + 44.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 8 = -2*k. Let i be (-6)\/2 + k\/4. Let x(h) = h**2 + 4*h + 5. Is x(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {t: 7, x: 6, s: 3, n: 1}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 147925 - 147924 + 0*p**2 - 5*p**3 + 3*p**2 + 124*p in the form z + h*p**3 + n*p**2 + a*p and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:33 PM and 4:55 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*o**3*y**3 - 11*o**3 + 2*o**2*y - o*y**3 wrt o.\nAnswer: 30*y**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1173 - 1170. Let l = -104\/3 + 35. What is the closest to -5 in t, l, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 69650 and 4776?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 0, -2\/5, 2\/3, 0.067?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 25 - (-1400 + 1416) - (97 - 1)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1039 divided by 1149.\nAnswer: -1039\/1149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**4 + q**2 + q. Let d(a) = -4*a**2 + 4*a. Let x(i) = d(i) - 4*j(i). What is the third derivative of x(n) wrt n?\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 709107, 709102, 709095, 709086, 709075, 709062, 709047?\nAnswer: 709030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 20, 5, 4, 3 in descending order.\nAnswer: 20, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 33*l + 261. Let w be h(-8). Sort 3, w, 45 in increasing order.\nAnswer: w, 3, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -597.\nAnswer: 2\/597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 6:56 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1091*q**2 - 551*q**2 - 540*q**2 - 8*q**3.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 17 = -2*m, 4*m + 11 = 3*m - 3*r. Let d = m - 3. Let v be (8\/(-12))\/(4\/(-42)). Calculate the highest common divisor of v and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 11018 = 3*v + 2*v, -i - 8804 = -4*v. Suppose 5*p + 547 = v. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -66422208*u**3 - 2994543*u - 3?\nAnswer: -398533248*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 2\/3, -1\/4, 8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-2 + -4 + (sqrt(60)\/sqrt(3))\/sqrt(10)))**2.\nAnswer: -108*sqrt(2) + 342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 0 + 2 = 0. Is 5\/(-2)*q*-6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4.99892 - 5. Round m to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100110110100100000 + -10001001?\nAnswer: 100110110010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -55*t**2. Let w(d) = -42*d - 5. Calculate w(z(m)).\nAnswer: 2310*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide (-2 - 32128\/(-36)) + (-8)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -479088 (base 11) in base 7?\nAnswer: -6310101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*x + 7*x + 4*n + 17, -3*x + 5*n + 23 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2527 + 2994. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 31 - 24. Let t = b + 16. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 0.3, 0.5, -2\/7, -9344?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(720) + 1)*5 + -3 + (2*sqrt(720) - sqrt(720)))**2.\nAnswer: 288*sqrt(5) + 25924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than 26\/99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 61\/3 of a century in months?\nAnswer: 24400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*a - 3*a + 0*a + (a - a + a)*(-1 - 1 + 1) + (3 - 2 - 2)*(-6*a - 5*a + 14*a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-2))\/((-955)\/(-573))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-4 + ((6*(-2*sqrt(153) + -1)*-2)**2 + -3)*2).\nAnswer: 13824*sqrt(17) + 706136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 353\/2  (b) 4\/5  (c) -5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 453232.1 kilometers?\nAnswer: 453232100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 18180816 * -2.\nAnswer: -36361632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 - 19*u**2 + 16*u - 48. Let w = 395 - 415. Calculate the remainder when 139 is divided by v(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 278397 divided by -2\nAnswer: -278397\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -11145 (base 6) in base 7?\nAnswer: -4412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w + 18. Let j(q) = q**2 + 9*q - 170. Suppose 77*b - 79*b - 32 = -p, -2 = b - 4*p. Let t be j(b). Determine n(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8896\/7 or -1270?\nAnswer: -1270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 13826040*q. Let j(y) = y**2. Determine s(j(x)).\nAnswer: 13826040*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 2*c + 1978, 2*q - 848 = -4*c - 52. Suppose -389*w = -q*w + 161. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 40 = -u, 5*z = -u + 4*z + 50. Let h = u + -53. What is the tens digit of (-10 - (-2)\/1)*(-22)\/h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1307, -2505, -3709, -4925, -6159?\nAnswer: -7417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1442223 (base 6) to base 15\nAnswer: -19ae3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (912\/192)\/(((-3)\/(-8))\/(6\/(-4)))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*z**2 + 170*z**2 + 35*z**2.\nAnswer: 163*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(60)\/(sqrt(12) + -1*(sqrt(12) + sqrt(192))).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3452258835 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46 + 114*a**2 + 229*a**2 - 46.\nAnswer: 343*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1795 + -1795.5. What is the nearest to 0 in h, -1, 3\/7, -6\/11?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 3825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1695617+-910\nAnswer: 1694707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 3173, 13404, 30701, 55064, 86493, 124988, 170549?\n\"Answer: 3533*q**2 - 368*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 186355 by 611.\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3408, 7388, 11368, 15348?\n\"Answer: 3980*m - 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 9 = r. Suppose -r*x + 7 = -2. Suppose x = m - 3. Let t(s) = s - 14. What is t(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16*(78\/6)\/26\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -3, -1\/3, -0.0199, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 59875051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.18 + 1074\nAnswer: 1073.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**2 + 2*i + 9. Calculate the lowest common multiple of 7 and g(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2064 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*d + 474144 + 194297 = -384899. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 AM and 8:09 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 14*n**2 + 17. Let o(j) be the second derivative of -13*j**4\/12 + 1443*j + 1. Determine m(o(b)).\nAnswer: 2366*b**4 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3037 + 3090. Is 32 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*j**3 + 877*j**2 - 58*j + 501694 wrt j?\nAnswer: 6*j**2 + 1754*j - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*a**3\/25 - 49854*a**2\/25 + 398946*a\/25 - 69818\/5 = 0. Calculate a.\nAnswer: -24935, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in twenty-eight thirds of a hour?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 2*x + x + 3, -4 = 4*j - 4*x. Let g = -4.7 + 5. Which is the fourth smallest value?  (a) g  (b) 12  (c) 1  (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2b9 + 5?\nAnswer: 2c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2450561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -13*s - 14. Let t be v(-7). Calculate the highest common factor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 6*a - 35 = 0. Differentiate 9 + a*s - 5*s - s**4 + 0*s**4 with respect to s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -5*s - 5. Let a be q(-6). Suppose 2*f = -3*f + a. Let g(t) = t**2 + 4*t - 5. Let r be g(-5). Solve r = 2*x - x + f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*w - 43*w + 360. Solve -2*k + 149 - 159 = 2*a, 0 = 4*k - a + w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -0.06  (c) -0.28  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and 4623330?\nAnswer: -13869990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -168*u**4 - 2*u**3 + 56157*u**2 + 28377117*u.\nAnswer: -2016*u**2 - 12*u + 112314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5940 divided by 54.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -38*t + 132. Let z(b) = -31*b + 132. What is 3*g(n) - 4*z(n)?\nAnswer: 10*n - 132","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -1  (b) 3  (c) -26\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/36880 and -71\/138300.\nAnswer: 553200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7\/5 + -129\/10. Let b = r - -11. What is the second smallest value in 2, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36990298?\nAnswer: 2, 67, 276047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 35173 and 850359.\nAnswer: 2069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 2*z**3 + 5*z**2 + z - 2. Determine x(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 193 = -3*v + 4. Let c = v - -88. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 894 * 2924.\nAnswer: 2614056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -97580\/139 + 702. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*k**2 + 6 + 2 - 527333*k**3 + 6*k**4 + 527330*k**3 - 4 in the form w*k**2 + g*k + u + s*k**3 + p*k**4 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j. Let t(g) = -38 + g + 116 - 47 - 38. Give t(i(m)).\nAnswer: -m - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5171 + 5174. Solve 0 = -h + 4*g - 20, m*g - 4 = -64*h + 62*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*d + 120*d + 8023. Which is the nearest to -1?  (a) d  (b) -0.1  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1338 - 699. What are the prime factors of i?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 363 - -671. What are the prime factors of z?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -18 + 18. Let n(r) be the third derivative of 0 + 0*r - 1\/150*r**6 + 1\/150*r**5 + 0*r**4 + 1\/525*r**7 - 2*r**2 + c*r**3. Factor n(g).\nAnswer: 2*g**2*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -2*f**2 + 8 + f**2 - 5*f - 6. Let q be j(-6). Which is the third biggest value?  (a) q  (b) 1\/6  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**2 - 60*t - 3. Let y(r) = -2*r**2 - 181*r - 8. Calculate -8*h(w) + 3*y(w).\nAnswer: 2*w**2 - 63*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in c**2 + 921424090*c - 921424090*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 40463192?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 7, c: 1}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -2897477 < -2897483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3825038200 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = -35*b + 31*b + h, 4*h - 23 = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 + (1 + (-2 - -16) - (-9 - -7 - -25))?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3436*b + 1693*b + 1746*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15 by 6.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (((-2*sqrt(96))\/sqrt(6))\/(sqrt(8) - (-1*sqrt(72) + sqrt(72))\/sqrt(9)))**2)*5.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 157\/49 + -17505\/5341. Find the common denominator of -51\/4 and p.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4397.495 years to months.\nAnswer: 52769.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and 72.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 57*b + 1. Let u(c) = 1002*c + 18. Let r(t) = 18*k(t) - u(t). Let w(y) = -y + 7. Give r(w(g)).\nAnswer: -24*g + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 156 - -79368.\nAnswer: 79524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1995*g + 1995*g + 518*g**2 + (6*g**2 - g**2 - g**2)*(-1 - 1 + 3).\nAnswer: 522*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0806226m to millimeters.\nAnswer: 80.6226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2102 (base 4) to base 15.\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17, -50, -97, -158, -233, -322, -425?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10265 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 + -3. Let q(p) = 7*p + 1. Let j be q(1). Let b be (-2)\/j - (-9)\/324. Which is bigger: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (37*q**2 + 56*q**2 + 83*q**2)*(-4*q**3 + 3*q**3 + 3*q**3) - 2*q**3 - 2*q**5 + 2*q**3.\nAnswer: 350*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*o - 4*o + 44*o + 1 - o in the form n*o + v and give n.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -19*n + 5*v - 24, -61*n - 5*v = -61*n - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2*m + 1. Let t(a) = 2*a + 1. What is 3*r(o) - 4*t(o)?\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*p - 284 = 18*p. Suppose 2 = -69*o + p*o. Suppose -2*m + 6 = 4*c - 0, -2*m - 12 = -5*c. Put 5, o, c in decreasing order.\nAnswer: 5, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 30\/(-9)*(-90)\/32 and ((-4)\/(-96))\/(3\/244).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 217 + -0.3. Let a = -211 + h. What is a rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-2)\/39)\/(4\/12). Let q be (-4)\/(-3)*(5 - 2). Suppose q*r + 5 = -r. Put -3\/5, h, r in decreasing order.\nAnswer: h, -3\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 100 = y. What is the greatest common divisor of y and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ngnhh. Give prob of picking 2 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hv when two letters picked without replacement from ehvdg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*u = -125 + 97 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 89813?\nAnswer: 19, 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 + 8*d - 10. Let q be c(5). Suppose -q*m - 9070 = -2*n, -16563 = -5*n - 5*m + 6112. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -2*o**3 + 46*o**2 + 5*o - 54. Let c be f(22). What is the greatest common factor of 16 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*f - 9*f + 25 = 0, -3*b + 22 = -5*f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7537 - -7535. Let y = -1.3 + 1.23. Let h = y + -2.93. Is o <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (7 - 0) + 0\/(-3). Suppose d*r = 2*r + 15. Suppose 2*g - r*g + 12 = 0. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xt when two letters picked without replacement from {t: 2, x: 5, f: 2, k: 4, q: 1}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 35088 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 2 = -0*a. Let p be (4 - a\/1) + 4. Let j be (-4)\/10 + p\/15. Solve -2*i + 5 - 13 = j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-2\/7)*c*c*c**(-4)*c*c**(4\/3)*c*c**(-3)\/c assuming c is positive.\nAnswer: c**(-62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dcccoicih. What is prob of sequence dc?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -h - 0*h. Put 3, h, 0 in increasing order.\nAnswer: h, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - 10111011000101?\nAnswer: -10111011000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -13*m**2 + 4198*m - 8. Give l(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the first derivative of x**2 + 4*x + 1. Suppose 25 = 5*i - 5*d, 4*i - 6*i - 5*d + 45 = 0. What is the units digit of p(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 199294 at least as big as 199709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12*d + 29 + 4*d - 7*d + 28 - 2*d - 864*d**3 wrt d.\nAnswer: -5184*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 4*s**3\/3 + 68*s**2 - 1120*s\/3 = 0.\nAnswer: -56, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**3 + 12*q**2 - 16*q - 39. Calculate r(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 223\/(-3)*8\/(8\/(-9)). Let r(l) = 657*l - 4*l**2 + l**2 - f*l. Let t(z) = 2*z. Give r(t(i)).\nAnswer: -12*i**2 - 24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l - 117 = -125 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 4454878*n**2. Let h(o) = -3*o. Calculate h(a(u)).\nAnswer: -13364634*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 64388 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 20*h**2 - 56*h - 10. Let k be d(11). Suppose 2*y - 4*z + k = 5*y, -y - 4*z + 606 = 0. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 564a (base 11) to base 3.\nAnswer: 101012101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((966\/(-414))\/(14\/2)*(-438)\/(-2))\/(-1).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/54160 and -41\/44.\nAnswer: 595760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1423159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 7 = m, 2*b - b - 26 = 5*m. What is the units digit of 17 + (3\/(-3) - b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - -112?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 2*s = 2, -3*s - s = 4*n - 4. Let i(w) = w + 3. Let t be i(n). Let b be t + 3\/9 + 27002\/3. Round b to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.23 - -0.2. Let u = s + 0.08. Let b = u - -0.59. Round b to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/28 - 4\/14. Suppose 7 = 3*y + 22, 4*a - 91 = 3*y. What is the remainder when a is divided by (q - (2 - 1)) + 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 19 + -6. Suppose 0 = t + 3*u - r, -4*t + 7*t = -2*u + 11. Suppose 5*n = 4*g - 41, 0 = n - 3*g + t + 16. What is the third biggest value in 3, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -17*y**2 + 61*y - 24. Let t(f) = -4*f**2 + 15*f - 6. Let q(d) = -9*t(d) + 2*u(d). Let v be q(8). Let j = 81 - v. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of u**5 - 4 + 2*u**2 + 4 + 0 wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 285\/(-760) - (937899\/(-8) + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(204)*6 - (-2*1*sqrt(204) + sqrt(204)))\/(-1*(4*-3*sqrt(300) - sqrt(300))))**2.\nAnswer: 17\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 128 = 2*t + 2*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12 - -6. Let n(c) = -4*c**3 + c**2 - 3*c + 1. Let t(i) = 5*i**3 - i**2 + 4*i - 2. Let d(p) = r*n(p) - 5*t(p). Is d(-3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 10611554?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*x**2\/9 + 1664*x\/3 + 9992\/9 = 0. Calculate x.\nAnswer: -2, 2498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/(-7 - (1 - -6 - 12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.009235 + -310.388235. Let x = m + 0.379. Let k = 310.00253 + x. What is k rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2\/2 + 12*z - 440.\nAnswer: (z - 20)*(z + 44)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -120 = -470*k + 500*k. Let c(q) = 11*q - 2. Let v(s) = 10*s - 2. Determine k*c(j) + 5*v(j).\nAnswer: 6*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14491\/4 - 3601. Let k = g - 22. Which is the nearest to k?  (a) -0.2  (b) 2\/3  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 2*n**3 + 11*n**2 - 6*n. Let k(o) = -5*o**3 - 23*o**2 + 10*o. Determine 7*c(s) + 4*k(s).\nAnswer: -6*s**3 - 15*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -22011202 - -20?\nAnswer: -22011122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (35 + -40)*(-242)\/(-55).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -9*c. Let p(y) = 14866283*y. Calculate i(p(w)).\nAnswer: -133796547*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -9798?\nAnswer: -1\/9798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 - -6. Suppose -11 - 9 = -j*p. Suppose -n - y = y + p, 5*y = 5*n + 5. Let z(i) = i**2 + 5*i + 3. Determine z(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 23552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2252\/8 - 1 - 50\/20. Let x = u + -271. Which is the third smallest value?  (a) x  (b) -1\/2  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1892, -3792, -5690, -7586?\nAnswer: -9480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.9 + 2. Let y = -9 - -15. Let n = y - 4. Put c, -3, n in decreasing order.\nAnswer: n, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - 101111110000?\nAnswer: -101111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1018717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 78735?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*d**2 - 28*d**2 - 7*d**2 - 102*d**2.\nAnswer: -161*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(80) - sqrt(80)*-3 - sqrt(80) - sqrt(80)) + sqrt(80) + sqrt(80))\/sqrt(10) - sqrt(8))**2 - (-5 + -5 + sqrt(2) + -3)**2.\nAnswer: -99 + 26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 411 divided by 10866?\nAnswer: 137\/3622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6342496 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 88*g = -89*g - 3565, g = 4*a + 4744. Which is smaller: a or -1188?\nAnswer: -1188","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 5 = -3*j. Let m(r) = r**3 + 3*r**2 + r. Let v be m(-2). Solve -j*z + v = -8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 446058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the first derivative of -3*h**5\/5 - 41*h**4\/4 - 393*h**2\/2 + 86. What is the second derivative of w(b) wrt b?\nAnswer: -36*b**2 - 246*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 PM and 2:13 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**4 - 150*w**3 + 846*w**2 - 1250*w + 552.\nAnswer: 2*(w - 69)*(w - 4)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -212436 divided by 35406?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 6}. What is prob of picking 2 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0.1, 12, -0.4, 804, -1014 in ascending order.\nAnswer: -1014, -0.4, 0.1, 1, 12, 804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-26)*(r\/r**(-2\/17))\/r*(r*r*(r\/(r\/(r*(((r*r**(22\/5)\/r)\/r)\/r*r)\/r)))\/r)**(-18) assuming r is positive.\nAnswer: r**(-8932\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-44)\/(-70))\/1 + (-11)\/55.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 3, r: 3, a: 1, i: 3, k: 1}. What is prob of picking 2 r and 1 a?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n. Let z(l) = -1851*l + 14. Determine z(k(o)).\nAnswer: -1851*o + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**4 + 9416*q**3 + 22491078*q**2 + 1527921464*q - 1550421959.\nAnswer: (q - 1)*(q + 71)*(q + 4673)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 + 8. Let t(x) be the third derivative of x**5\/20 - 13*x**2 + 2*x. What is z(t(p))?\nAnswer: 9*p**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.8947 - 0.1053. What is the closest to 1 in 0.3, 5, -20, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15 - 24. Let b be h\/(54\/(-8))*3. Solve -2*m = -4*y - b, -4*m + y + 18 = 3*y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and 0.303011.\nAnswer: -1.212044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of l**4\/24 - 7*l**3\/6 - 34*l**2. Let p(f) be the first derivative of 2*f**2 - 34*f - 116. Determine 3*p(z) - 14*u(z).\nAnswer: -2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -13, -2\/31, 7\/2, -5, -2\/7, 18?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 453590 to the nearest 1000.\nAnswer: 454000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.65079 days to hours.\nAnswer: 231.61896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the second derivative of -g**5\/20 - 3*g**4\/4 - 4*g**3\/3 + 5*g**2\/2 - 13*g. Determine t(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105722933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 213\/10, 216, 9, 5\/2, -4, 1?\nAnswer: 213\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 833770?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2986 - 422 = -26*t - 39*t - 6*t for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is 6 + (3 - 7) - (-1 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 9*y**3 - 28 - 2*y + 2*y**3 + 29. What is j(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + (-10 + -4 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2 + 1)*(2 + -1). Suppose -n + i + 45 = 0. Is 24 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -5*u**3 - 4*u**2 - 4*u. Let m(l) = 5*l**3 - 11*l**2 - 3*l. Let h(j) = 2*j**3 - 4*j**2 - j. Let i(z) = 8*h(z) - 3*m(z). Calculate 3*i(p) + n(p).\nAnswer: -2*p**3 - p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes before 10:11 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1350828 divided by 2826\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4751, 9500, 14247, 18992, 23735, 28476, 33215?\nAnswer: 37952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 + 17 - 5)*(-h - 4*h + 2*h) to t + q*h and give q.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 3 - 193*r + 198*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 - (-2)\/(-6))*9. Let l be 224\/48 - (-2)\/i. Suppose 4*h + 6 = l*v - 23, 4*v - h = 32. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vgudrufr. Give prob of picking 1 u, 1 g, and 1 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-945)\/4312 + (-393)\/(-1048))*(28 + (-2 - -2))?\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 151 - 183 = -14*h - 130 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -229 = 3*p + 2. Let j = 361 - p. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 7, h: 4, l: 6}. What is prob of picking 3 h?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -5482 divided by -165?\nAnswer: 5482\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.3329 - -0.0329. Which is the third smallest value?  (a) -1\/2  (b) v  (c) -3  (d) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 + 10. Suppose 8 = s - h*s. Solve 0*o - s = -4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-3\/7)*(p**(-5\/6)*p)\/p*p*p**(-1)\/p*p*p\/(p*p**5*p*p))\/(p**(-1\/6)\/p**(1\/3))**(9\/7) assuming p is positive.\nAnswer: p**(-160\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1303231002 - 11?\nAnswer: -1303231013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/(-20)*(-36)\/81)\/((-4)\/(-280)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*f**2 - 3012088 + 3012088.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, 5, 0.3, -6\/7, 1\/68 in descending order.\nAnswer: 5, 0.3, 1\/6, 1\/68, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2185, -4572, -7179, -10000, -13029, -16260, -19687, -23304?\n\"Answer: o**3 - 116*o**2 - 2046*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/(t\/(t\/t**(-1\/5))))*((t**(3\/10)*t)\/t)\/t*t)**(17\/5) assuming t is positive.\nAnswer: t**(17\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20\/(-260))\/((-3)\/(-39))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10305108 divided by 194436?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 5*z = -33, 4*z = -0*r + 4*r - 36. Suppose 3*s + 1 = 4*c, r = c - 4*c + 5*s. Let h(m) = -m + 5. Calculate h(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -190419*c + 1142513. What is t(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 5.9438635+-0.1\nAnswer: 5.8438635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dpddpddp. What is prob of sequence dd?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/2)\/(4\/40). Let s = 6 - b. Does 6 divide 17 - -1 - (s + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + sqrt(102)\/sqrt(6))*-5 + (sqrt(17) - (-4*sqrt(2057))**2).\nAnswer: -32912 - 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 157 + 28 = -3*z, 3*x + 204 = 5*z. Solve z*s = 44*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -112981 + 31141. Round a to the nearest 1000.\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 156 and 3084?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 199453.\nAnswer: 199453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -774, -1077, -1380, -1683, -1986?\n\"Answer: -303*b - 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.1  (b) -5  (c) 1\/9  (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -24 + 5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -26948167 by -3.\nAnswer: 26948167\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -641 = b - 5*p, 4*b + p = -3011 + 468. Let w be (-3 + (-1917)\/b)\/((-663)\/(-104)). Is w >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-184)\/(-20) + -8)*(-15)\/(-21)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j + 4*j + 2 - 3*j)*(-j - 1 + 1 - 2*j - j - 9*j + (-2*j + 0*j + 0*j)*(2 - 4 + 3) - 1387 + 155*j + 1387).\nAnswer: -280*j**2 + 280*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(((sqrt(120) - ((-5*sqrt(120) - sqrt(120) - sqrt(120)) + sqrt(120)))\/sqrt(10))\/(3*sqrt(4)*2) + -2)*-2.\nAnswer: -20 + 35*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 256 = -3*i, -13*y + i = -9*y - 256. What is the highest common divisor of y and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19401?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 222395 and 4085.\nAnswer: 9562985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 - 13*y**2 + 12*y + 11. Let b be u(12). What is the greatest common divisor of 33 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 677*l - 37278. Determine v(55).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -536 + 2137\/4. Which is the nearest to -0.1?  (a) -0.03  (b) -1\/4  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 4*f + 9 = -3*x, 15*f = x + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {i: 1, y: 5, h: 5, s: 7}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 12, 5*a + 209 = 3*l + 10. Let n = -64 + l. Calculate the smallest common multiple of n and 28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/((u**(-16\/7)*u)\/u))*u**(2\/19)\/u)**(5\/7) assuming u is positive.\nAnswer: u**(-2115\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + f = -1442, -3631 = w - 6*w - 4*f. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccactcccccc. Give prob of picking 3 c and 1 a.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 37340393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 103 = -2*v, -2 = -4*n + 18. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42852756 divided by 7142126.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f**2\/5 - 20956*f\/5 + 41908\/5 = 0. Calculate f.\nAnswer: 2, 20954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 233303 (base 6) in base 8?\nAnswer: 47347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6154843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 205427.1 + -205427.15500043. Let s = m + 0.055. What is s rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 0, -5*d + 5*w + 10 = w. What is the third derivative of y**2 + 2*y**2 + 197*y**6 - 190*y**6 + 6*y**d wrt y?\nAnswer: 840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.055, -2\/9, -1375.\nAnswer: -1375, -2\/9, -0.055, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16 - 0. Is 2259\/12*f\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/6)\/((-5)\/(-2))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.07?  (a) -2\/7  (b) -6\/11  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 383*t**6 + 17*t**3 + 9*t**2 + 341 wrt t.\nAnswer: 45960*t**3 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - 0) + 10 + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3137875822?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 47351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**3 + 4*d**2 + 3*d - 3. Let f be (36\/(-27))\/((-1)\/(-33)). Let y = f - -41. Give o(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1595.\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 5*w**3\/2 - 121*w**2 + 2767*w\/2 + 1507 = 0.\nAnswer: -1, 22, 137\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4747\/10 + 474. Is -1 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 + 15*w**2 + 14*w + 4. Let d be f(-14). Suppose 3*g = 2*b + 3 + 2, 0 = -d*g + 4*b. Suppose g*a - 35 = -0*a. Solve -5*x + a = -13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 0 = 3. Let d = i + 3. Suppose 0 = l - y + 8, 6*l = 2*l + 3*y - 28. Sort d, l, 0 in increasing order.\nAnswer: l, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = 2*b - 3*p + 6, -2*p - 10 + 6 = -3*p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3187296 by -102.\nAnswer: -31248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 l when three letters picked without replacement from {l: 1, p: 14}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 426, 168571, -4 in descending order.\nAnswer: 168571, 426, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*y - 6 - 12 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 99.407828 rounded to two dps?\nAnswer: 99.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 971012 and 2427530?\nAnswer: 4855060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3980874?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 158065*b. Let o(j) = -2*j - 93. Determine p(o(r)).\nAnswer: -316130*r - 14700045","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1819 and 96?\nAnswer: 174624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 70 = c, 2*l + 146 = -2*c - 2*l. Let s = -71 - c. Solve -2*w = -4*q - 14, -2*w + 0 = q - s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 986 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 5*u + 7*u - 10*u. Let c(x) = -2*x**2 + 2*x**2 + 2*x**2. Give c(b(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.216077 * -172.\nAnswer: 37.165244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3548 - -14272. Is 220 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-4106)\/(3*31\/9 + -5 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*i*o*s**2 - 10*i*o*s + 268*i*s - 3*o*s**2 - s**2 wrt s?\nAnswer: 22*i*o - 6*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 3*o**5 - 42372*o**4 - 169542*o**3 + 84732*o**2 + 508635*o - 381456 = 0.\nAnswer: -3, 1, 14128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - 4)\/((-4)\/(-18)). Calculate the lowest common multiple of 5 and n*(-6)\/(-63)*-7.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x - 8. Let z(n) = -4*n + 5 + 4 + 3*n. Let b(m) = 5*q(m) + 4*z(m). Suppose 12 = 2*h + h. What is b(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 2 r when three letters picked without replacement from {s: 3, y: 2, r: 4, w: 2, d: 2}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 102.8928, -4\/7, 1, 2\/15, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*v = 3008 - 2403 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3136.9999973208 + -3137. Round c to seven decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**3 - 2*p**2 - 7*p - 1. Let z be k(7). Suppose 0 = 5*j - i - z, 2*i + 1 = -9. What is the remainder when j is divided by ((-2)\/2)\/((-1)\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 866634 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2220*f**2 - 2 + 5666*f - 387*f**2 + 3533*f**3 - 5665*f + 0 wrt f.\nAnswer: 21198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 199845886?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of -g**2\/2 - 1. Let d be n(-6). Let h(i) = i**3 - 5*i**2 + 5*i + 2. What is the units digit of h(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*p**2 + 12576*p + 69*p**2 - 12576*p.\nAnswer: 56*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/161, 0.5, -2\/13, -4\/11, 1 in decreasing order.\nAnswer: 1, 0.5, 2\/161, -2\/13, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 266*n - 267*n + 3, -n - 27 = 5*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 31590 and 21515?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j = 2523*k - 2520*k + 8, 0 = 3*k - 3*j + 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11\/5 + -2 + (-48)\/40.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*q**3 - 3*q**3 + 4*q**3)*(-3 + 2 + 7).\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p + s - 25977, 6*p - 2*p = s + 20787. Suppose 2*w - p = -838. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 18272 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 10:37 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 6958*f - 6*f**2 + 1 + 6963*f - 13922*f. Let d be (-2)\/(-3) + (-2)\/(-6). Give p(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1772 and 1?\nAnswer: 1771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1843\/9 - 205. Let q = 663\/5 + -133. Which is the second biggest value?  (a) t  (b) 4  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 23*j + 1. Suppose -2*y + 45 = -z, 10 + 10 = -4*z. Suppose -22*g - y = -27*g. What is the units digit of o(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16 + -2 + (-18 - (-3 + -8))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (2 + sqrt(112))*2 + (sqrt(112)*-3 - sqrt(112))*-3 + 0)**2.\nAnswer: 224*sqrt(7) + 21956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 142 - 148 = 0. Find the first derivative of -8*c**2 - c**2 + m - 36 wrt c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 AM and 8:09 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9 - -9.23. Let c = h - -0.77. Is c at least as big as -2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 172682*l - 14. What is a(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.4 + 0.4. Let h = 3 + v. Let p = 5.12 + -0.12. What is the second smallest value in 3\/7, p, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2011891028 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 3*f**2 + 5 - 5*f**2 - 1 - f. Let h(u) = -u. Let l(n) = -g(n) - h(n). Factor l(r).\nAnswer: 2*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2647, 5086, 9177, 14926, 22339, 31422, 42181?\nAnswer: 54622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:20 PM and 9:57 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 594023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -13 - (-8 - (-32 + 30)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13\/33 + -556\/99. Let z = 3046 + -112718\/37. Find the common denominator of z and b.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the second derivative of -o**7\/840 - o**6\/72 - 7*o**4\/24 + o**3\/6 - 3*o. Let h(t) be the second derivative of i(t). Give h(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*i**2 - 2\/3*i**5 - 4\/3*i**4 + 0*i + 0 - 2\/3*i**3.\nAnswer: -2*i**3*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -125*n - 4. Let r be ((-38)\/(-4))\/((-21)\/42). Is v(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that i**2\/6 + 2229187*i\/3 + 4969274680969\/6 = 0.\nAnswer: -2229187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2884754 is divided by 501.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 240796 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23*f - 3*f - 31*f)*(-5 + 1 + 2)*(-3*f + 2*f + 2*f).\nAnswer: 114*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -7*f + 40. What is c(-11)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 13 = -d, 0 = d - 5*k + 3*k + 7. Suppose -10*q = -6*q + d*o + 12, 5*q = 2*o - 15. Which is the smallest value?  (a) -5  (b) q  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1617992898?\nAnswer: 2, 3, 8467, 31849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 342727 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22382 by 18466.\nAnswer: 11191\/9233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16610, -33223, -49836, -66449, -83062, -99675?\nAnswer: -116288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 - 3)*(8*p - 14*p + 9*p + 2*p**2 - 33).\nAnswer: -10*p**2 - 15*p + 165","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in l**2 + 675*l - 675*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/10)\/(28\/210). Suppose 141*n**4 - 20*n**2 + 180*n**2 + 174*n**4 - 20*n - 405*n**w = 0. Calculate n.\nAnswer: 0, 2\/7, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the second derivative of -7*j**4\/4 + j. Let h(q) be the second derivative of 0 - 45*q + 0*q**2 + 1\/3*q**4 + 0*q**3. Calculate y(h(m)).\nAnswer: -336*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.1  (b) 1\/2  (c) 5\/9  (d) -160  (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -214120 (base 5) to base 15\nAnswer: -22e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 2)*(-12*n**4 + 10*n**4 + 21*n**4)*(6*n - 2*n - 3*n).\nAnswer: -57*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: d (base 14) to base 4\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 370 at least 368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/((-6)\/(-32)) + -2. Let d = t + -124\/9. Let n(g) = g**3 - g**2 - 2*g. Let w be n(-1). Sort w, d, 1\/9.\nAnswer: w, 1\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/z**(-3\/5)*z*z*z**(-7))**(-14\/3) assuming z is positive.\nAnswer: z**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**2 + 9*n + 11. Let r be s(10). Suppose -4 = -2*t - 3*w + 7, 5*w - r = t. Let h(m) = -m**3 + 4*m**2 + m. Determine h(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 - 11*u**2 + 17*u + 9. Let v be c(9). Is -2 + v - (28 - 39809) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3519)\/1169 - -3)\/((-230)\/(-161))*15\/(-9)?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes before 7:29 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*u - 24 = 7*z, 19*z - 22*z - 5*u = 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 - 2*n - 7. Let z be f(5). Let j = -291 - 667. Let y = j - -963. Solve -b = -y*b - z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -161.473 to the nearest integer.\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32, 7, 72, 163, 280, 423, 592?\nAnswer: 787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 - 11*v**2 - 5*v + 76. What is d(4)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1613005891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 705208350?\nAnswer: 2, 3, 5, 7, 11, 61057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1290.6 - -1347.33. Let n = z + -56.9. Is -0.7 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 4*y = 219 - 231, -20 = 4*y for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -9*z - 103 + 25 + 78. Let i(y) = -15*y + 5. What is i(f(u))?\nAnswer: 135*u + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7056 by -12.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -9, 37647, -4, 0.5, 0, 6?\nAnswer: 37647","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 + 4*c**2 + c - 4. Let r be d(-3). Let o(l) = -l**r + 7*l**2 - 4*l**2. Let g(u) = -u**2. What is g(o(j))?\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 465 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 157 - 163 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -135121891 greater than -135121891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.13 in 0.4, -1\/4, -2\/5, -40?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 divided by 2032088.\nAnswer: 11\/2032088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (125 + 143 - 55 - 47)*(-4*s - 2*s + 2*s) as j + i*s and give i.\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 15\/3*(4 - 3). Suppose g + 7 = 3*d. Solve 0 = d*m - 12, -2*i = -0*i + m - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 313 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 1961 divide 20441464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*l**3*q**2 - 164959004*l**3 + 13033523*q**2 with respect to q.\nAnswer: 6*l**3*q + 26067046*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1747 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 3*r**2 + 5685*r - 5688 = 0.\nAnswer: -1896, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 12 + 2*o + 11 + 22*o**2 - 8 as a*o + v + u*o**2 and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -2*j + 527. Let l(z) = 64941*z. What is l(w(y))?\nAnswer: -129882*y + 34223907","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 88409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k + 3*k + 1916*k**4 + 7*k**5 - 1919*k**4)*(-3 + 3 + 8)*(6 + 0 - 4).\nAnswer: 112*k**5 - 48*k**4 - 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2212222121 (base 3) to base 6.\nAnswer: -1115111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**3 - 12*b**2 + 11*b + 9. Calculate o(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange q**4 + 2*q**2 + q**4 + 0*q**4 + (-3*q + 2*q**3 + 3*q)*(-4935 + 4935 + 1871*q) to the form b*q**2 + i*q**4 + w*q + l*q**3 + z and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 554116 - 554116 + 2655*o**2 as r*o**2 + a*o + d and give r.\nAnswer: 2655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of -m**4\/4 + 25*m**3\/3 - 13*m**2 + 39*m + 889. Determine o(24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -239*g**2\/3 - 299*g - 180 = 0.\nAnswer: -3, -180\/239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 7 + 2)*(-118*b**4 + 140*b**4 - 484*b**4).\nAnswer: 3696*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**2 - 21*w + 34. Calculate z(-22).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 472.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 42 and 24273.\nAnswer: 339822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-115)\/(18170\/79))\/((-1)\/164)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5564488*g**6 - g**2 + 2*g + 1584894 wrt g.\nAnswer: 667738560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 21*n**2 - 9*n - 27*n**2 + 2*n wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2136399107.\nAnswer: 2136399107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16.09 - -16. Let x = j - -0.89. Let a = x + 3.2. What is the third smallest value in -5, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-39)\/(-52)*4\/30*10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112*k - 38889 = 83*k. Calculate the remainder when k is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -98*u + 2264. Let h be k(-37). Is 5891 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 173991 is divided by 8577?\nAnswer: 2451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 9 + (-3 - 5) + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 172497 and 119421?\nAnswer: 1552473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12123, 5\/3, 1\/5, -5, 0.3.\nAnswer: -12123, -5, 1\/5, 0.3, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, a: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/((-16)\/(192\/(-9))). Sort 21, m, 0 in decreasing order.\nAnswer: 21, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1425 + -1438. Let o(y) = -y**3 + 4*y**2 + 5*y. Let s be o(5). What is the smallest value in s, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 144 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -4723896.1 <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Put 2657, 4, -2, 10, -1, 2 in decreasing order.\nAnswer: 2657, 10, 4, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -157\/966 and ((-10)\/(-45) - 14\/(-180))*(-282)\/18?\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00021131495 to 6 dps.\nAnswer: 0.000211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 687646 is divided by 686931?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the first derivative of -1121*f**3 + 6939*f - 6733. What is the first derivative of s(r) wrt r?\nAnswer: -6726*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 7*x**3 - 200*x**2 - 181*x + 2659. Determine n(29).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the second derivative of 2783*b**7\/21 - 7*b**4\/6 + 46*b**2 + 126*b - 5. What is the third derivative of c(o) wrt o?\nAnswer: 333960*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -4*s - 46. What is c(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -8*m**2 + 140*m - 370. Calculate s(11).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 85.4 + -88. Let x = h + 2.5999952. What is x rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + g + 3 + 0 + (1 + 4 - 7)*(2*g + 3*g - 3*g).\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/8 + 14\/(-4). Let c(a) = 106*a**2 + a + 2. What are the prime factors of c(w)?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -3*h + 441. List the prime factors of i(0).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94195.8 centuries in millennia?\nAnswer: 9419.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 7024, 13920, 20790, 27634?\n\"Answer: -13*d**2 + 6935*d + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the second derivative of d**4\/12 + d**3\/3 - 9*d**2\/2 + 5*d. What is the remainder when n(-12) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 900008690892 - 900008690272.000001031. Let s = 1128 + -508. Let n = s - w. What is n rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -5*x + 14. Calculate the smallest common multiple of x and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - 301\/(-21))*-6*(-12 - -11)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b**(2\/3)\/b))\/((b**(-9)\/b)\/b)*b**(2\/7)*b*(b**(2\/7)*b)\/b*b*b*b assuming b is positive.\nAnswer: b**(334\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -0.1, -3, 11\/19, 1?\nAnswer: 11\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of 2*u**3\/3 - 19*u**2 - 40*u + 236. Factor k(o).\nAnswer: 2*(o - 20)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 5 - 9 + 0 - 1812*a.\nAnswer: -1812*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*y**3\/3 + 26*y**2\/3 - 50*y\/3 - 650\/3 = 0. What is y?\nAnswer: -13, -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 2*n = 2*a, 22 = -3*a - 5*n. Let f = 17 - 30. Let k be (f\/169)\/(2\/a). What is the biggest value in 1, k, -2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (982*f + 2 - 1952*f + 581*f)*(2*f - f + f).\nAnswer: -778*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 18.31 - 0.71. Let u = 18 - a. Suppose -23 - 2 = -5*j - 4*k, 0 = -2*j + k - 3. What is the biggest value in j, -2, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 15 = 6*g. Suppose 3*i = -g*a + 6, 4*a - 5*i + 3*i - 20 = 0. Let d be -5*a\/(-20)*2. Solve 0 = d*w + w - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**3 - 3*u**2 + 7. Let a(j) = -108*j**2 + 1 + 107*j**2 + 2. Calculate -7*a(t) + 3*f(t).\nAnswer: -3*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1 - (-6)\/12)*4. What are the prime factors of x - (-19)\/1 - (10 + -12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**2 + 9*r - 9. Suppose -5*t = 4*v + v - 15, 34 = 3*v - 2*t. What is n(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (92\/(-138))\/(1\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8101*o + 3822*o**3 - 1771*o**3 - 2048*o**3 - 8101*o.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75 is divided by 47.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 36 = -4*j, -6*j - 5 = -7*j. Suppose 83 = -t*w + 447. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -22 - 10 + 4008*x - 17309*x + 15 + 16 in the form l + w*x and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/u**(2\/5)*u\/u**(2\/39) assuming u is positive.\nAnswer: u**(302\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -36963 smaller than -4509399\/122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the first derivative of -3*t**2 + 3*t**3 - 3*t**3 - 2*t**3 + 4*t**3 - 6. What is the second derivative of q(p) wrt p?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8569 - 8568.65999. What is f rounded to 3 decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3199 * -0.2685\nAnswer: 0.08589315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 + 14. Let f(i) = -i**3 + i**2 + i - 1. Let a(g) = -55*g**3 + 4*g**2 + g - 3. Let k(b) = -a(b) + 3*f(b). Is k(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-4)*i)\/(i*i*i\/((i*i**(1\/3))\/i))*i*i\/(i**(1\/6)\/i)*i\/i**(-2) assuming i is positive.\nAnswer: i**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -11053163 + 5?\nAnswer: -11053155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1b + -25?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 46952, 187773, 422484, 751091, 1173600?\n\"Answer: s**3 + 46939*s**2 - 3*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/4*1*(-32)\/(-18)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 284500717?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 229*g**2 - 180*g. Let j(u) = -4*u**2. Calculate z(j(i)).\nAnswer: 3664*i**4 + 720*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 36376241 - 5?\nAnswer: 36376234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*g**3*r + 5*g**3 - 10300*g*r - 2*g + 2*r + 7 wrt r?\nAnswer: 3*g**3 - 10300*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -49, -66, -83, -100, -117, -134?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2647469831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-15)\/10*(-4)\/3. Suppose 3*t + w*u - 5 = 0, 2*t - 3*u - 1 = -2. Let m = 2.2 - -0.8. What is the nearest to -2\/3 in m, t, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-5 + 2*sqrt(242) + sqrt(242)))**2 + 4.\nAnswer: -1320*sqrt(2) + 8816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -1. Let y(c) = c + 2. Suppose -5*k = -n - 9, 4*k - 11 = 2*n - 5*n. Let g(d) = n*q(d) + y(d). Determine g(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5\/9, -4.2714, 1?\nAnswer: -4.2714","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -63*j**2 - 28*j - 91. Let h(d) = -13*d**2 - 6*d - 18. Let u(w) = -14*h(w) + 3*k(w). Let i(z) = z**2. Determine u(i(p)).\nAnswer: -7*p**4 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 3*h = 12. Let c = 6 - h. Find the third derivative of -2*j**2 - 3*j**4 + 8*j**c + j**6 + 3*j**4 wrt j.\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 266206.4574 rounded to the nearest 10?\nAnswer: 266210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**2 + 4*y + 5. Let t be s(-4). Let j(i) = -i - 3*i - 3*i + 4*i - 3*i + 6. Determine j(t).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002931 rounded to 5 decimal places?\nAnswer: -0.00293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.9 in -5, -9, -1\/2, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -2\/11, 3673.35, -1, 4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -751\/4 - -179. Let v = 66783\/8 + -8349. What is the common denominator of r and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + -20. Let c be ((u - -20)*2\/8)\/2. Solve 3*h - 3 + 18 = c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -3*l**3 + 2*l**2 - 2*l. Let o(f) = 4*f**3 - 3*f**2 + 3*f. Suppose -3*q + 5*q + 4 = 0. Give q*o(i) - 3*g(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from iwgi?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/40 - (-85)\/25.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 16 = -4*d - m, -4*m = -d - 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -363996 divided by 6?\nAnswer: -60666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 788.\nAnswer: -1\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 192591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 903fb (base 16) to base 4.\nAnswer: 2100033323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3335 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -12?  (a) -2\/3  (b) -2\/5  (c) -4  (d) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are -728 and -733 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 11053398 to the power of 1\/2, to the nearest integer?\nAnswer: 3325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(3 + 1177917\/(-392640)). Suppose -3*i = 38240 + v. What is i rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -53 + 54. Let n be 5 - -2 - (-2 + d). Let l(g) = g**3 - g + 1. Let r be l(0). Calculate the highest common divisor of r and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -2*b**2 - 8*b - 8. What is s(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1227*v - 1202*v - 6*v**3 + 3563*v - 1200*v - v**4 + 49*v**2.\nAnswer: -v*(v - 3)*(v - 2)*(v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 50*i + 1. What is the tens digit of c(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 74759*d**2 - 41330 wrt d?\nAnswer: 149518*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q + 1. Let t(a) = 15*a - 1. Let g(j) = 1. Let w(z) = -4*g(z) - 2*t(z). Let p(o) = -w(o) - 2*x(o). Let r(i) = i**2. Determine p(r(c)).\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.33 in -0.01, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the second derivative of -o**3\/3 - 5*o**2\/2 - 9*o. Let r be h(-4). Let w be (-4)\/15 - (-2)\/r. Which is the smallest value?  (a) -0.2  (b) 0.1  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most -0.010879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -223*t - 48379. What is x(-217)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the second derivative of -w**5\/20 - w**4\/3 - w**3\/3 + 3*w**2\/2 - 215*w. What is m(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + -1375532?\nAnswer: -1375527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**3 - 2*x**2 - 2*x - 3. Let c be d(3). Let u(n) = 4*n - 8*n + 1 - 8 + 5*n. Determine u(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 - -1*2\/4. Let u = -3.801 + 7.801. What is the closest to -1 in m, 13, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = 2*v - 5*q, -58*q = -53*q + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 199*y + 3 - 381*y + 179*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -v - 7, -j = 4*v + 4*j - 23. Let l(y) = -y + 3. Suppose 54 + 240 = -42*d. Let p(a) = a**2 - 3*a + 10. What is d*l(b) + v*p(b)?\nAnswer: 2*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -64 + 72. Suppose w*s - 8 = 4*s. Suppose 2*u + 3*q - 18 = 0, 6*q - 11 = 3*u + q. What is the highest common divisor of u and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -93 + 97. Suppose -1586 = -i*x + 1110. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 4*c - 23136, 38560 = 5*x - 4*c + 2*c. List the prime factors of x.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.00948*-4\nAnswer: 0.03792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/4 - (-147)\/(-6)*1. Let y = z + 118. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 2*h - 5 = -3*h, t - 2*h = -2. Suppose 0*w + 4*w = -4*x, t = 2*x + w - 2. What is the greatest common factor of x and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/((-1)\/(-2)*1). Let n(x) = 37*x**2 + 17*x - 5. Let z(m) = 74*m**2 + 39*m - 10. Let j(p) = 9*n(p) - 4*z(p). Is j(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5173859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 945583976.\nAnswer: 2, 29, 47, 86719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(44)\/(sqrt(8)\/sqrt(2))*-1 - sqrt(77)\/((sqrt(700) - (sqrt(700)*-1 - sqrt(700))) + sqrt(700)).\nAnswer: -41*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*c**3 + 1 + c**3 + 1 + (0*c**2 + c**2 + 0*c**2)*(28 + 2*c - 28) - 593*c**2 - 8*c**3 + 593*c**2.\nAnswer: -8*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -31725972 divided by 46383?\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 424680214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4*1\/3)\/(-30 + 32)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 394 + -610. Does 5 divide 4\/14 + t\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -7626 - 600?\nAnswer: -10426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 86118 and 372?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00008047635 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t - 6*t - 3*t. Let v(x) be the third derivative of -x**4\/12 + 397*x**2. Give v(i(c)).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 3*z + 2 = 0, u + 0*u + z - 4 = 0. Let y be 2 - (-3)\/(-90)*5*0. Solve 0 = -o + y + u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13021*d**3 + 6514*d**3 + 6511*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -264 + 271. Suppose -26*g + 152493 = y*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*y**2 + 5 + 50*y**3 - 22*y**2 - 6.\nAnswer: 50*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11.21 - -11. Let l = i - -1.31. Let b = l - -3.9. What is the second smallest value in 0.1, -2, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * 1107.\nAnswer: -332.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 22*y**2 + 64*y + 144. What is the smallest common multiple of 14 and c(-8)?\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 10\/10 + (-2 - 1). Let k(r) be the first derivative of r**2 + 2*r + 3. Let i(l) = l**2. Determine u*i(j) - k(j).\nAnswer: -2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(33)\/sqrt(3))**2 - ((sqrt(33) + sqrt(297))\/sqrt(3) - sqrt(11)).\nAnswer: 5*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = 5*f + 22, 0 = -3*p - 7 - 5. Let l be 2\/(f + 3 - -9). Which is the closest to 1?  (a) l  (b) 5\/3  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 397 * -0.1.\nAnswer: -39.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -4  (b) 194  (c) 2\/7  (d) -84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7523 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 - 6*q**2 + 15*q + 16. What is the units digit of o(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80652988?\nAnswer: 2, 13, 1551019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 994 + 1192 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(12)\/sqrt(4) - sqrt(3) - sqrt(3) - (-1 + sqrt(3) + 5)) + -2)*-2.\nAnswer: 4*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22099 and 4059?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5618*c**2 - 2*c + 2706.\nAnswer: -11236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + -330121342?\nAnswer: -330121343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-3*5*16\/(-2040).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1731921, 1731867, 1731813?\n\"Answer: -54*m + 1731975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*l = 55*l - 15*l - 656 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-188)\/(-470))\/(1\/20*-79). Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 248 + -158. Let d = -87 + g. Solve -2*a = -d*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 298872 and 1172.\nAnswer: 87569496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -4*c + 314, -4*y = -4*c + 9 + 303. Let z = c - 66. Solve -z = 3*a - w, -3 - 9 = -2*a - 4*w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -112 or 10431?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 - 17*d**2 - 39*d - 34. Determine j(19).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/(-7))\/((-1)\/(-7)). Suppose 0 = m + a - 1. What are the prime factors of ((-405)\/(-36))\/(m\/(-12))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2845333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 41611 - 41572. Solve 15 - 132 = -q*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 146 and 108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-3)\/36)\/(2\/4). Let r = 5 - 2. Sort -0.2, r, l in descending order.\nAnswer: r, l, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -0.3, 3, -5, -1202, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i. Let b be (-18)\/(-9) - 1*-1. Let n(o) = -4*o + b*o - 2*o. Calculate s(n(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 4*x - 6, 4*y + 3*x - 21 = 16. Let l = y - 40. Let s be 0\/(l\/26 - (-4)\/26). Which is the closest to s?  (a) 0.4  (b) -8\/7  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 383705141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) 3039  (c) 0  (d) 2  (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 5*n + 285, -4 + 10 = 2*n. Suppose 4*c - y + 12 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 4 = -4*o, b = -3*o + 23 - 7. Solve -5*i - 2*l - 23 = 0, -2*l + 4*l + 18 = -b*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*o = -5*f - 552, -211*f + 431*f - 220*f = 3*o + 84 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + 9. Suppose -n = n - j. Let v(c) = 21*c + 12. Let k be v(n). What is the greatest common divisor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*z, 55 = l + z + 16. Solve 10*w + l = -2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -717 + 741. Suppose -3*c + 0*c - 27 = -r, 4*c = -16. Let s = j - r. What is the greatest common divisor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, u: 1}. What is prob of sequence up?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(336)*2 - 2*3*sqrt(21))\/((sqrt(280)\/sqrt(5))\/sqrt(8) - -2*-3*sqrt(7)).\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 7025 divide 491750000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9.46 + -21.65. Let m = 1.31 - a. What is m rounded to 0 decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is f1 + 3?\nAnswer: f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -118 - -128. Let j(l) = p*l**2 - 14*l + 5*l + 16 - 4*l**2. Does 9 divide j(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the first derivative of 30*n**3 - 422*n + 15. Differentiate g(z) with respect to z.\nAnswer: 180*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -3*i**3 + i**3 + 2*i**2 - 6*i**2 - 2 + 7*i. Suppose -25 = 4*z + x, -5*z + 4 - 24 = -x. Is n(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 5*s - 0*s - 5*a, 4*s - 2*a = -10 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -1723*q - 82702. Let k be b(-48). Factor 0 + 24\/5*c + 44\/5*c**k + 16\/5*c**3 - 4\/5*c**4.\nAnswer: -4*c*(c - 6)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w = 2*w + 31 - 7, 0 = -4*c - 4*w - 32 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b*(b*b*b**(-10\/3))\/b)**39*b**(-11\/4)*(b*b**2\/b)\/b)**(2\/73) assuming b is positive.\nAnswer: b**(-59\/146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in thirty-one fifths of a decade?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -217 + s**3 + s**3 + 107 + 108.\nAnswer: 2*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 384 and 12935424?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6.4 - -6. Let f = 585.4 - 585. What is the nearest to f in -3\/8, 2, j?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16)\/198)\/(9012\/(-20277))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than 2\/1392111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 14637 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 24\/(-45)*12\/16*-20. Is 9 a factor of (26\/x)\/(2\/168)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes before 9:14 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -11*c + 32. Let n(d) be the second derivative of 2*d**3\/3 - 11*d**2\/2 - 23*d + 9. Determine -17*n(q) - 6*r(q).\nAnswer: -2*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the third derivative of b**6\/120 - b**5\/20 + b**4\/3 + 5*b**3\/6 - 66*b**2. What is the tens digit of s(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the first derivative of -4*r**2 + 2 - 3*r - 5*r**2 + 11*r**2. Differentiate i(d) with respect to d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28733207 plus 2255.445?\nAnswer: 28735462.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zjdyxddazzx. What is prob of picking 1 z and 1 d?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -134 - -134. Suppose -2*z + 4 + 6 = d. Suppose -1 = -5*l + 9. Solve v = l*v - 4*m + 10, -z*v - 18 = -4*m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24, -5, 32, 93, 184, 311?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-60)\/600)\/((-51)\/(-102)*(4\/(-10))\/(-1)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - r = -2. Does 25 divide (-75)\/r*(1 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ol when two letters picked without replacement from {l: 1, j: 1, o: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -42317, 2\/3, -2, 2, 3.6, 3.\nAnswer: -42317, -2, 2\/3, 2, 3, 3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2, -78, 2, 4 in increasing order.\nAnswer: -78, -4, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, v: 6, n: 3, m: 2}. Give prob of sequence om.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 70*v**3 - 653*v**2 + 262*v**3 - 47*v**3 + v**4 + 239*v**3 + 2277*v**2 wrt v?\nAnswer: 24*v + 3144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1032101 - 420410?\nAnswer: 111141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (43 + (-30144)\/704)*(-1)\/4*11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 129278 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llfifarkfiai. Give prob of sequence ai.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4238 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*v**3 + 1 - 3*v**3 + 2*v**2 + 10*v**4 - 1 to the form z*v**4 + p + f*v**3 + m*v + x*v**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 180, 360, 540?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8151.356 years to months.\nAnswer: 97816.272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4537 + -4537. Put 3, 2\/3, 1.2, a in decreasing order.\nAnswer: 3, 1.2, 2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78650861.\nAnswer: 19, 397, 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y - 17600. Let o(q) = -1993*q**2. Determine l(o(z)).\nAnswer: -1993*z**2 - 17600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1905, 7630, 17171, 30528, 47701, 68690, 93495?\nAnswer: 122116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -24 divided by -2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dkkb. What is prob of sequence kd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 429, -3, -5, -2 in decreasing order.\nAnswer: 429, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -k + 34. Let i be 43458\/k - (-2)\/9. Suppose i = 6*t - t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 699?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80936 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + f)*(-10*f**3 + 62*f + 21*f**3 - 63*f).\nAnswer: 11*f**4 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-1\/4)*(p**(-2\/19)*p)\/p assuming p is positive.\nAnswer: p**(-27\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1892 and 14564?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1489, -1485, -1483, -1483, -1485, -1489, -1495?\nAnswer: -1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - (-1 - 0) - ((17 - 0) + -35).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 111332301 (base 4) to base 12\nAnswer: 44129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 14*m**2 + 2*m + 27. Let j(t) = -23*t**2 - 3*t - 55. Let y(i) = 3*j(i) + 5*x(i). Calculate y(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + p + 6 = 0, p = 5*x + 6*p - 30. Suppose -x*m = -10*m + 296. Suppose 11*f - 9*f = m. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**3\/2 - 15347305*c**2\/2 + 30694613*c\/2 - 15347307\/2.\nAnswer: -(c - 1)**2*(c + 15347307)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, p: 6, z: 4, b: 1}. What is prob of picking 1 f and 1 z?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-16)\/520)\/((12\/10)\/6).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of -164*q**3\/3 + q**2 + 16*q + 29. Let a be z(-6). What is the tens digit of ((-4)\/(-18) + a\/(-180))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*z = -50*z + 27*z - 792 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 336346910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -327, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -3*t - 12, 4*t - 5*a + 0 = -22. Sort -100, t, 3\/5.\nAnswer: -100, 3\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.5 - 0. Suppose -3 = -2*k + 1. Suppose -k = -f + 2*j, 0 = 2*f + j + 1 - 0. Which is the closest to 0.2?  (a) -0.4  (b) f  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 14) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 29173299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + g + o + 2 = 0, -14 = 3*g + o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - 5*y - 36, -2*j + y - 14 = -50. Let k(z) = 7 + j*z**2 - 36*z**2 + 17*z**2. Suppose 0 = 8*t + 12 - 12. Give k(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1058*i**2\/9 - 74963348*i + 11950740049698 = 0. What is i?\nAnswer: 7333371\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -273*o - 5. Is y(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnnnfnnffnnnnnn. Give prob of picking 1 n and 3 f.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -4*c**2 + 2*c - 1. Let q(t) = -t**2 + t. Suppose 2*r = -57 + 59. What is r*s(y) - 2*q(y)?\nAnswer: -2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/10*-7 + 1. Let a = -0.99 - 0.01. Let x = a - 0. What is the nearest to x in -2, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*t = -6 - 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r**2\/4 + 1643*r\/4 - 4947\/2 = 0. Calculate r.\nAnswer: -1649, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**3 - 8*n**2 + 13*n - 8. Let z(h) = -h + 10. Let t be z(20). What is the units digit of d(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:16 PM and 3:55 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes before 8:02 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/4 - (202\/(-4) - -6). Let f = m + 32. Determine d, given that 4 - 4*d**2 - f*d + 77*d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x - 7. Let l be f(11). Let c be (-2)\/6 - (-366)\/18. Let n = -20 - -20. Solve -2*d = y + l, -d - 3*d + 5*y + c = n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24711890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 5:17 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) - (sqrt(153) + sqrt(153)*-1 + sqrt(153))*2) + sqrt(153) - (sqrt(153) + 2*sqrt(153))*3)\/(2*sqrt(144) + sqrt(144)*1).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 5*(sqrt(539) - (sqrt(539)*-1 + -3))**2.\nAnswer: 420*sqrt(11) + 10827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 50 and 130?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 412571562?\nAnswer: 2, 3, 13, 23, 151, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, l: 5, h: 3, p: 4, o: 3}. What is prob of picking 2 v, 1 h, and 1 o?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 7 = 3. Suppose -2*m + m = 2*a - 2, -f*m = 3*a - 17. Solve 4*j + 3*p = -19, 0 = m*j - 4*p + 9 - 25 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 2*x**2 + 28*x + 1. What is j(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -40*w + 10*w + 19*w as g*w + t and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**2 + 8*r. Give y(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -4*w - 456, 2*w - 562 = 5*h + 3*w. Let u be h\/57 - 15\/((-30)\/4). Is u greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.009875381 to five dps.\nAnswer: -0.00988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 325 - -1222?\nAnswer: 1551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 17262776945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 12) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12117?\nAnswer: 3, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 13331, 26667, 40005, 53345, 66687?\n\"Answer: w**2 + 13333*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, 14, -5, -1, -259, -267 in decreasing order.\nAnswer: 14, -1, -3, -4, -5, -259, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 59 + -39. Let n = z + -20. Sort -5, n, 5, 1 in decreasing order.\nAnswer: 5, 1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -2*r**3 + 3*r**2 + r - 2. Let t be z(1). Suppose t = -5*g + 7 - 27, 0 = -3*h + 3*g - 9300. Let j = h - -5437. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -151, -162, -173, -184?\n\"Answer: -11*j - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**2 + t + 4. Let z be a(-3). Let p = 42 - 47. Let j = p + z. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1036 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + -6. Let x(p) = 2*p + 7. Let h(g) = -2*g - 3. Let b(d) = j*h(d) - 2*x(d). Let k(s) = -s**2. Calculate b(k(f)).\nAnswer: -6*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -576 divided by -36.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(1\/4))\/w)**10*(w**1)**39 assuming w is positive.\nAnswer: w**(83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -38 - -20. Let b = l + 5. Do -14 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from rrrprwyrrrrrpr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 20 + 4 = 0. Let g(x) = x**3 - 2*x**2 + x + 1. Let s be g(2). Put p, s, -3 in decreasing order.\nAnswer: s, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2325 divided by 5\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -11136*b**2. Let y(z) = -2*z. Give y(a(w)).\nAnswer: 22272*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77 = -66*n - 47*n - 190. Which is the closest to n?  (a) -0.5  (b) -3  (c) 294.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37605576 divided by -12535192?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 3*n**3 - 5*n**2 + 3*n + 3. Is t(3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 9) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 70 + -56. List the prime factors of (6*w\/(-20))\/((-164)\/43460).\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -282*d + 13. Let p be v(-11). Suppose a + 401 + 614 = 3*l, -3*a - p = 5*l. Round a to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 45035870?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.2 + 2. Let f = 674397 - 674400. Which is the smallest value?  (a) -128  (b) f  (c) u  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**2 - 11*n - 10. Let k be v(12). What is j in 7*j**2 - 5*j**2 - 7*j - 3 + 10*j**k - 2*j = 0?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 112 = -16*y. Solve 5*j = 4*o - 0*o - 22, 5*j + o = -y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (69\/3795*-60)\/((-2)\/(-33))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -18*q**2 - q + 14. Let d be u(-3). Which is smaller: d or -144?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13809 take away 325511363?\nAnswer: -325525172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -124.04696 + 125.1. What is t rounded to 3 decimal places?\nAnswer: 1.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 7 - (11 + -2 + -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/(-5)*(-7 + 2). Let u(z) = 2*z + 1 + 1 + 0*z - z. Let h(v) = -3*v - 4. Let s be 1\/((-16)\/(-14) - 1). What is o*h(w) + s*u(w)?\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + u. Suppose 10*s = -17*s. Let n = u + s. Solve r + 3 = -n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(2940)*-2 - sqrt(2940) - sqrt(2940)))\/((2*(sqrt(144) + 2*sqrt(144) - sqrt(144)))\/sqrt(12))*-1.\nAnswer: 35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 654184 is divided by 326811?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 - 4)*(126*p + 133*p - 33*p + 26*p).\nAnswer: -504*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the second derivative of -4*z**3\/3 + 587*z. Let l(w) = -58*w. Give r(l(s)).\nAnswer: 464*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 3*n = 3*b - 22, -4*b - 2*n + 12 = 0. Suppose 5*r + 2*o = 19, b*r + 3*o - 24 + 8 = 0. Calculate the greatest common factor of 15 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -51*x**2 - 1355*x - 820. What is d(-26)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y*y\/(y*y**(1\/9))*y**(1\/2) assuming y is positive.\nAnswer: y**(25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.24351 and -4?\nAnswer: 0.97404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 119 divide 21498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -75 + 90. Suppose -20*t = -15*t - j. Solve 3*m + 0*m + t = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29016 is divided by 4141.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 672, -0.3595.\nAnswer: -0.3595, 0.2, 672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68)\/(-2*sqrt(4)*-2))**2.\nAnswer: 17\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 2 + 8 = 0. Suppose 0 = -11*p - 16 - a. Let b(w) = -3*w**2 + 2*w. Let m(y) = -13*y**2 + 9*y - 1. Calculate p*m(c) + 9*b(c).\nAnswer: -c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:42 PM and 11:04 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 6*w**2 + 7*w - 31. Let k be p(-4). Solve -55*t + 18*t = k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 53 - 1?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2460790903381.2579857 - 2460793808741. Let f = -2905494.742 - q. Let d = f - -135. What is d rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67500 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15*a*v**4 - 2*a*v**3 - 3529*a + 28*v**4 + 84*v**3 + 47*v**2 wrt v.\nAnswer: 360*a*v - 12*a + 672*v + 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1451 + -5)\/((231\/28)\/(-11)). Let h = t - -219. What is h rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 2, 30578, -2\/65?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-6)*(-15)\/(-25) - 3381\/345?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -107*s**2 + 154*s**2 + 5 - 3 + 1 - 5.\nAnswer: 47*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 6*k - 2)*(8974 + 4786 + 2426 - 4273)*(3 + 3 - 5).\nAnswer: 71478*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 10168651 or 10168649?\nAnswer: 10168651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 78842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -2*u**2 - 13. Let y(x) = -2*x**2 - 13. What is -3*g(h) + 2*y(h)?\nAnswer: 2*h**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4\/35 - 34\/315. Let b(v) = -13*v + 2. Let d be b(-1). Let f be 10\/d - (-44)\/(-48). What is the closest to f in x, 3, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -184*f = 125*f - 2472 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -555*k**2 + 759*k**3 + 1447*k**3 - 250*k**2 wrt k?\nAnswer: 13236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -50*q + 63. Let s(v) = 17*v - 18. Let f(z) = 2*n(z) + 7*s(z). Let p(w) = -7*w. Determine f(p(j)).\nAnswer: -133*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 - 5*i**2 + 6*i. Let a be y(4). Let b be 4*-1*6\/a + 10. Suppose -b*u = -u + 33660000. What is u rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 364 + -340. What is the common denominator of (255\/l)\/5 - -2 and (8\/(-12))\/((-6)\/10)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 PM and 6:34 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18.8 - -20.36. Let j = -5.56 + h. What is the fourth biggest value in j, -5, 0, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yiw when three letters picked without replacement from yiiwiyg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 162908 and 6446.\nAnswer: 1791988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 743 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 44\/23937 and 125\/36.\nAnswer: 287244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-102)\/85 - (-22)\/10. Let x be (((-20)\/5)\/(-24))\/((-20)\/30). Which is the closest to 0?  (a) -5  (b) x  (c) i  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25578610.1 rounded to the nearest 10000?\nAnswer: 25580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggc when three letters picked without replacement from {g: 2, d: 1, c: 3, m: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 207\/12 - ((-18)\/(-8) + -2). Let o(u) = -3 + u + 6*u - 4*u**2 - 13*u + c*u**3. Is o(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 54*t**2 + 14. Let q(b) = -1194*b - 11 - 5 + 16 + 1190*b. What is q(n(f))?\nAnswer: -216*f**2 - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.012 - 0.212. Which is the second biggest value?  (a) k  (b) 1\/7  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -33708873*c**2*v**2 + 53*v**2 + 82518 wrt c.\nAnswer: -67417746*c*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 39 and -4898.\nAnswer: -191022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8426 + 8430. Solve 0 = -f*i - j + 5 + 4, 11 = 3*i + 5*j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 330821856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o**3 - 3*o + 3*o)*(-56 + 3 - 107) + (3*o - 4*o + 3*o)*(-6*o + 6*o - o**2).\nAnswer: -322*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6027 - -6027. Put -4, -0.4, 9, -5, i in ascending order.\nAnswer: -5, -4, -0.4, i, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 - 3. Let n = q - 2. Let i(s) be the first derivative of 2*s**3 - s**2\/2 + 2. Give i(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyyyybby. What is prob of picking 1 b and 3 y?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 8*a + 80 = 0. Let k = a + 8. Calculate the remainder when 46 is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 5*f**4\/2 - 33*f**3\/2 + 33*f**2 - 14*f - 12 = 0.\nAnswer: -2\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110 = -24*y + 490. Solve y = 5*n - 3*b, 9*n - 7*n + 2*b + 6 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -49898609 or 0.1?\nAnswer: -49898609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-138)\/5681)\/((-6)\/(-39))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6.9983 millennia?\nAnswer: 83979.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 591763924?\nAnswer: 2, 6197, 23873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 - 6\/(2 - -1). Let k(r) = -r. Let w be k(-4). Suppose -w*t = -21 + 9. Solve -t*j + 6 - 18 = y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -58677 or -58610?\nAnswer: -58610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -236*a = -228*a - 128. Let s(l) = 21 - a*l - 31 + 10. Let r(b) = -3*b**2 - 1 + 1. Determine r(s(z)).\nAnswer: -768*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (0 + -1 - (-31 + 68 - -31)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 5*b - 1415, 3*t + 979 - 131 = 4*b. Let c be 1536\/(-8) - (-1)\/(-1). Let a = c - t. Calculate the greatest common factor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 4 + 5)*(-17 + 4 + 1)*(2*q + 2*q - q + (3 - 5 + 0)*(-q + q + q) + 4*q - 5*q - q - 1 + 1 - q + 3*q - 3*q - q).\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -10*h**2 - 6 - 11*h**3 + 19*h - 3 + 12*h**3. Is w(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s - 81 = 10*j, 3017 - 3042 = s + 3*j for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zyzy when four letters picked without replacement from {y: 4, z: 10, o: 4, i: 1}?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10\/51, 498, -3 in decreasing order.\nAnswer: 498, -10\/51, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w**2\/7 + 513486*w\/7 - 2567505\/7 = 0. Calculate w.\nAnswer: -171167, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the first derivative of 7 - 2\/25*w**5 - 2\/45*w**3 - 1\/45*w**6 + 0*w - 1\/10*w**4 + 0*w**2. Factor p(v).\nAnswer: -2*v**2*(v + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -20648*f + 18611. Determine u(1).\nAnswer: -2037","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 38 - 24. Suppose -10*f + x*f = 8. Determine d so that 0*d**4 + 0*d**f + 0 + 2\/3*d**3 - 2\/3*d**5 + 0*d = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 times -912\nAnswer: -8208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 + -3 + 16 + -8 + 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3126189134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -5*l**3 + 19*l**2 + 19*l + 20. Let x(j) = j**3 - 5*j**2 - 5*j - 5. Let d(p) = -2*f(p) - 9*x(p). Let y be d(-6). Is y greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 8*w = -15*w. Let i be (22 - -2) + w\/(12\/4). Let 37*z - 318*z**4 + 317*z**4 - 11*z**3 - i*z**2 - z = 0. What is z?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 318 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 722 + 525 = -63*p - 1399 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 974*y**2 - 76*y - 136. What is the smallest common multiple of x(-2) and 4890?\nAnswer: 19560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 7, -30, 1, 83, 3 in decreasing order.\nAnswer: 83, 7, 3, 1, -12, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -9, -4, -5\/6.\nAnswer: -9, -4, -5\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 5*d - 9. Let o(z) = 2*z - 4. Let y(i) = 5*o(i) - 3*t(i). Let p be y(5). Is p\/((-9)\/3) + 2 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -3*q + 36. List the prime factors of k(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 l when three letters picked without replacement from lllhhaapp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -19 + -10 + -3 - 29?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.125 - 0.005. Let s = -8.83 - x. Let d = s - -5.7. Which is the third biggest value?  (a) -0.3  (b) -7  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1724*j**6 + 4*j**2 + 64*j wrt j?\nAnswer: -206880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 - 3. What is the nearest to 2 in o, -5, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -186 (base 16) in base 8?\nAnswer: -606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c. Let y be j(-3). Let m be (-9)\/(y - 0) + 121. Suppose b = h - 2*b - 64, 2*h = 2*b + m. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-10 - -11)*-7 - -78 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 111.78 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 647, 646, 645, 644, 643, 642?\n\"Answer: -u + 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 472.2 + -472. Which is the closest to 0.1?  (a) 2\/3  (b) -1  (c) k  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -112020 - 201?\nAnswer: -112221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of v**5 - 17*v**2 + 3*v + 44?\nAnswer: 20*v**3 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/3  (b) -0.2  (c) 169\/4  (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 122114, 121598, 121082, 120566?\nAnswer: 120050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes after 9:19 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -8, -15\/38, 2\/15, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1260)\/135*12\/8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(120)\/sqrt(6)*4 - sqrt(40)\/((sqrt(18) - sqrt(2)) + sqrt(2)))\/((sqrt(20)*2 + sqrt(20))\/sqrt(5) + 3*sqrt(32)\/sqrt(8))*-4.\nAnswer: -22*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 8:01 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 50 and 45.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - 2*u - 12, 15 = 4*c - 4*u + 3. Let q = c - 5. Let f = q - -7. What is the smallest common multiple of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -17*s**3 - 17*s - 13. Let x(y) be the third derivative of -y**6\/15 - y**4\/3 - y**3 + 139*y**2. Give -6*u(w) + 13*x(w).\nAnswer: -2*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2483 and 109583576.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 2 s when four letters picked without replacement from yyssaasssssssas?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/4  (b) -5\/2  (c) 3\/2  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 656686085.\nAnswer: 5, 11, 11939747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-112)\/(-84)*(-15)\/(-230)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 466 and 20?\nAnswer: 4660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 207, 222, 251, 300, 375?\n\"Answer: j**3 + j**2 + 5*j + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*n**5 + 16*n**4 + 1023*n**3 + 77*n**2 - 5*n - 63 wrt n.\nAnswer: -120*n**2 + 384*n + 6138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (105\/(-45))\/((-3349)\/(-153) + -22)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -1457*b**2 - 11*b - 73. Let s(h) = -h**2 + 1. Let f(g) = -c(g) - 6*s(g). Is f(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4468779 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -0.2, 2\/13, -33387 in ascending order.\nAnswer: -33387, -2, -0.2, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 266*g**6 + 2*g**2 - 535 wrt g.\nAnswer: 31920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 5 + 3*m**4 - 2*m**3 - 2 - 5*m**2 to the form k + q*m**4 + o*m**3 + x*m**2 + i*m and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y + 5*y + 24 = 0. Calculate the remainder when y is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4716827449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 271554.\nAnswer: 2, 3, 45259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -5*m - w, -4*w = -5*m - 0*w - 32. Let o be 2\/m - (-9)\/18. Suppose z - 2*f + f = 18, -5*z - f + 60 = o. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*d**3*i + 336*d**3 + 14*d**2*i**2 - 10*d**2 - 17*d*i**2 + 2 wrt i?\nAnswer: -4*d**3 + 28*d**2*i - 34*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*r + 4*n - 16, 4*r + 2 = -3*n + 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/32*-4*4. Calculate the remainder when 3\/((-42)\/15 + m) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 864421 take away 1.7?\nAnswer: 864419.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q = -4*v - 140, -1510*v = -5*q - 0*q - 1493*v + 127 for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 + 9*s**2 - 9*s + 14. Let d be b(-10). Suppose d*t - 5*i - 42 = 48, 4 = 2*i. Let n = t + -15. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.2366 + 0.2634. Put -4, -180, q, -3 in decreasing order.\nAnswer: q, -3, -4, -180","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*m - 214*n - 195*n + 2454, -n + 6 = 27*m - 26*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - (29 + -14 - 10 - 2 - (11 - 0)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**2 - 8*g + 4. Let k be i(-8). Suppose -2*y - m = -7, -3*y + k*m = m + 3. What is the nearest to -0.1 in y, 1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14279446 by -151909.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*g + 209*g + 1755 - 1755 + 22*g.\nAnswer: 243*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -487 - -492. Solve 6*g = -0*g + v*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1199.6 rounded to the nearest 10?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((-4*(sqrt(48)\/sqrt(4) + -3))**2 + (sqrt(36)*-3)\/(sqrt(108) - (sqrt(108) + 2*sqrt(108)))).\nAnswer: -766*sqrt(3) + 1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.02557 and 11.2215.\nAnswer: 11.24707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(448) - sqrt(448)*2) + -3 - (-6*-1*sqrt(448) - (0 + sqrt(448) + -4)))**2*6*6*-6.\nAnswer: -3514752 - 248832*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of -l**5\/30 - 5*l**4\/24 - l**3\/2 - 25*l**2. Let w be p(0). Let n = -32\/21 + -8\/7. Which is smaller: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 159683995 take away 283?\nAnswer: 159683712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -44 - -28. Let o be (5\/(-2))\/((-2)\/v). Let r = 65 + o. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s*s**(2\/29))\/s)\/s)\/s**(-1\/2)*(s*s**(-2\/7))**(-2\/59))**23 assuming s is positive.\nAnswer: s**(-250815\/23954)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 6 + 4)*(-q + 0*q + 0*q)*(-12 + 15 - 4*q**3 + 0*q**3).\nAnswer: -4*q**4 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/(-56)*7)\/((-6)\/(-3504)). Suppose -3*k - 3*x = -18, 0*x + x = 5*k - 18. Suppose k*f + u = 119, -f - 4*u + s = 4*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 67841.00228245 - 67841. What is p rounded to five decimal places?\nAnswer: 0.00228","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55 = 13*l - 8*l. What is the remainder when 14 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/10)\/(33\/(-165)*-14)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 4*o**2 + o + 1. Let y be c(-1). What is the lowest common multiple of 1\/2 - y\/(-8) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v + 81 = 7*v. What is the second derivative of -4*d + 173*d**3 + 3*d - v*d**3 wrt d?\nAnswer: 552*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.09 + -11.09. Let g = 8 + a. Let f = -127\/4 + 32. Which is smaller: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 12 = -3*j, 3*j - 3 = 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4 + (9 - 13684\/1052). What is the closest to m in -3, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5676127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 divided by -71?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2*11*238\/(-476)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from {g: 1, l: 4, j: 1, s: 3, f: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.150374927 rounded to 3 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are -2 and -314\/145 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the third derivative of -5*d**4\/24 - d**3 - d**2. Let f(n) = -14*n - 18. Let b(x) = 4*f(x) - 11*q(x). Calculate b(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the third derivative of -y**5\/20 + 196*y**2 - y. Let o(p) = -p. Calculate s(o(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*d**3 + 0*d**3 - 5*d**3 + 2*d**3 + 3*d**3 - 2*d**3 + (0*d**2 + 0*d**2 - 2*d**2)*(-2*d - d + d) - d**3 + 4*d**3 - 2*d**3 - 10*d**3 + 25*d**3 + 18*d**3.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(2\/19)*j*j*j)\/(j*j**(-7)*j*j)*j**(3\/8)\/(j\/j**(2\/9)))\/((j\/j**0)\/j**(-1\/7)*(j\/j**(-2)*j)**(8\/19)) assuming j is positive.\nAnswer: j**(37111\/9576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 2*f + 9 = 0. Factor -2*l**5 + 4*l**4 + 0*l**4 + 9*l**f - 11*l**3.\nAnswer: -2*l**3*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 - 3 - -1)*1. Suppose 0*u + 3*u - 42 = k. Let j = u - 5. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-5\/6)\/(b*b**(4\/9)*b))\/(b**(-1\/2)*b**6*b*b*b))\/((b**2*b**3)\/(b**(-2\/5))**30) assuming b is positive.\nAnswer: b**(-259\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 9\/5  (b) 0.3  (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 5 + 31. Suppose r*a - 8*a + 6 = 0. Let z = a - -9. Solve x - 2 = -0*x, -z*l + 11 = x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -9924, -22172, -34400, -46602, -58772, -70904?\n\"Answer: u**3 + 4*u**2 - 12267*u + 2338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**2 + g - 8. Let b(f) = 7*f**2 + 5*f - 19. Let t(s) = -11*s**2 - 8*s + 29. Let z(i) = 8*b(i) + 5*t(i). Let k(w) = -3*v(w) + 4*z(w). Determine k(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**3 - 4*u**2 - 4*u - 9. Let d be x(-4). Let p = 14 - d. Solve -p*h + 2*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 times 0.117\nAnswer: -0.0468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -30, -8 in increasing order.\nAnswer: -30, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + 651692143117?\nAnswer: 651692143101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -10*o**3 - 3*o**2 + 3. Let z(j) = 161*j**3 + 49*j**2 - 49. Suppose 4*v + 67 = -5*p, -3*v - 5*p + p = 51. Let f = 36 - v. Calculate f*c(w) + 3*z(w).\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -5*m**3 + 2*m**2 - 2*m - 3. Let o(a) = -2*a**3 - 17*a + 20*a - 5*a**2 + 5 + a**2 + 11*a**3. Calculate -5*d(l) - 3*o(l).\nAnswer: -2*l**3 + 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5184) + sqrt(5184)*2)\/sqrt(12).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*a + n - 21 = 0, -56 + 110 = 3*a + 7*n - 93 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 6:38 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 14 + 2*d - 6 - 8*d wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/6)\/(38\/684*224).\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2356, -4704, -7036, -9352, -11652, -13936, -16204?\n\"Answer: 8*d**2 - 2372*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 823.43898s in weeks?\nAnswer: 0.00136150625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/((-18)\/1))\/(-1)*(-1)\/(-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8462610 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -33.2?  (a) 2  (b) 0.4  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 75 divide -1010*(-99)\/22 + 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/9)\/(3\/4*(-36)\/(-486))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1583 divided by -132.\nAnswer: -1583\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -778008, -1555993, -2333976, -3111957, -3889936, -4667913?\n\"Answer: v**2 - 777988*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -126, 20.\nAnswer: -126, -5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -5*w**3 - 2*w**2 - 4*w - 4. Let i(r) = 11*r**3 + 4*r**2 + 7*r + 7. What is 7*a(u) + 4*i(u)?\nAnswer: 9*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37229?\nAnswer: 59, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -13) + 13 - 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68) - ((sqrt(68) - (-1 + sqrt(68))) + 0) - -1*sqrt(68)*-3)*-3*-5*-5)**2*-3.\nAnswer: -4606875 - 135000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 83616933.\nAnswer: -4\/83616933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -430.6 and -0.5?\nAnswer: 430.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 + -24443?\nAnswer: -24441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + 17 + (12 - (35 - 13)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 9 - 4)*(6*q - 9*q + 6*q)*(-1 + 3 + 3*q + 0)*(-2 + 6 - 6) in the form t*q**2 + c*q + r and give c.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -43530 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 71993179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 5*x**2 - 24*x - 2. Let z(r) = -6*r**2 + 24*r + 2. Let d = 32 + -37. Let g(o) = d*f(o) - 4*z(o). Let l be g(24). Solve 0 = -l*b - 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 445 = i + 1137, 8 = 2*i. Find the common denominator of (-7*1\/(-10))\/((-61)\/r) and 57\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 2*y**3 - 2*y**2 + y + 2. Let i(p) = 13*p**3 - 21*p**2 + 11*p + 10. Let w(t) = i(t) - 6*j(t). Calculate w(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j = -3*j, 3*t + j = 3. Which is the closest to 0.1?  (a) t  (b) 0  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -185, -172, -159, -146, -133?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4\/24677, -3, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95*q = 11*q + 318. Which is the third biggest value?  (a) -17  (b) q  (c) -5  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g - 210 = -12*g. Calculate the remainder when 147 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 280 - 406.7632?\nAnswer: -126.7632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (2 - 2) + 0 + -12 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 171 - 183 = -4*m, m - f - 93 = 0. Let p = -8 + 11. Suppose 0 = p*q - 20 - 19. What is the highest common divisor of m and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 84 - 84?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/5)\/(((-47)\/705)\/(2\/42))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(50)*-2 - sqrt(2))*-3)**2*-5.\nAnswer: -10890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -189 - -19. Let a be 753\/(-9) + 13\/(-39). Let n = a - p. List the prime factors of n.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**2 + 3*u - 91 + 124 - 22*u. What is the units digit of t(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 8*v + v**2 + 3 - 7 - 7. Let h be o(-12). Let u = h + -25. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4040332267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1832 - -1835. Sort 4, 0, f, -558.\nAnswer: -558, 0, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gaao when four letters picked without replacement from igxagggixgaioxag.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9 by 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15332 is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000031141 rounded to six decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 7, -714, -2, -6 in ascending order.\nAnswer: -714, -6, -2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 - -1600\nAnswer: 1599.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 141\/140 and 37\/1587082.\nAnswer: 15870820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 45 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5990124 and 72.\nAnswer: 35940744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 1 + 5 + 1 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 197705113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15 + -15.09. Let h = -0.91 + l. Let o = -1.8 - -2. Which is the second biggest value?  (a) h  (b) o  (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 15*u**3 - u**2 + 4*u - 3. Let y(k) = -2*k**3 - 15*k**2 - 8*k - 314. Let l be y(-9). Calculate t(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 6.154 and -28680287006.\nAnswer: -28680286999.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.4  (b) -4  (c) -1.92  (d) -2\/9  (e) -1\/31  (f) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -546800 + 546800 - 80*f**2 + 24*f**2 + 15*f**2 + 18*f**2 + 20*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 108535300 to the nearest 100000.\nAnswer: 108500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + (2 - 3 - (3 - 1)) - -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 124369227.\nAnswer: 3, 59, 234217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -11*u**3 - 7*u**2 - 9*u + 11. Let s be 1*7 + 11 + 9 + -24. Let i(q) = 5*q**3 + 3*q**2 + 4*q - 5. Determine s*x(n) + 7*i(n).\nAnswer: 2*n**3 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*14 - 6844\/(-493).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:41 AM and 10:05 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -6*s**3 + 5*s**2 + 27*s - 188. Calculate t(6).\nAnswer: -1142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -286*s**4 + 11820*s**3 - 62*s**2 - 193529*s?\nAnswer: -6864*s + 70920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1192221 + -5961102\/5. Suppose 12\/5*n**2 + 0 - u*n**3 + 3*n = 0. Calculate n.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -2*g**2 - 168*g. Let w(z) be the third derivative of -z**4\/12 + 2401*z**2. Give j(w(v)).\nAnswer: -8*v**2 + 336*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 99*h = 100*h - 2. Solve 0 = 2*g + h + 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 4, 0, -2, 217?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, f: 3}. Give prob of sequence fq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 8*w - 518. Let k be i(50). Put k, -4, 0 in descending order.\nAnswer: 0, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1101 - -2?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 6a (base 11) in base 13?\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 109.011t in grams?\nAnswer: 109011000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add 977360175.59 and -174.\nAnswer: 977360001.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4009, 27629, 91747, 216613, 422477?\n\"Answer: 3375*y**3 - y**2 - 2*y + 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1, 6, 11, 16, 21?\n\"Answer: 5*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 382268102 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1276920?\nAnswer: 2, 3, 5, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the second derivative of u + 1\/2*u**3 + 0 + 0*u**2. Let x(v) = -v. Calculate q(x(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 6*k + 15 = 0. Suppose k*r - 10 = 5. Suppose 2*u - r*u + 21 = 0. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 9 = -2*u. Let a = 6 + u. Suppose -2*k - 3*r = -18, 2*k - 24 = -k - a*r. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4042*l + 4050*l = 448. Solve l = -102*n + 94*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*g + 0*g - 5*g - 2)*(0 - 3 + 6)*(-25*g**3 + 19*g**3 + 12*g**3) as u*g + r + a*g**2 + k*g**4 + h*g**3 and give h.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 101*h**3 + 121*h**3 + 100*h**3 - 335*h**3.\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b**3\/9 - 4198*b**2\/9 + 50158*b\/9 - 146090\/9 = 0. Calculate b.\nAnswer: 5, 7, 2087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 2*g - 11 = 2*m, -m - 16 = 3*g. Let j = m - -14. Suppose 50 = j*t - 2*t. Calculate the lowest common multiple of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 - -638344579?\nAnswer: 638344578.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-10)\/(-6))\/(40\/434040) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3384*c + 3372*c + 3936 = 0. What is the remainder when c is divided by 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99*p + 3246 + 585903 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 88712 and 37596.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -203072825*c*w**3 + 693247139*w**3 wrt c?\nAnswer: -203072825*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x**4\/4 - 17715*x**3\/4 + 34821657*x**2\/4 - 22691356281*x\/4 - 45942129666 = 0.\nAnswer: -8, 1971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 131112891 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together -344278.2 and -10.725.\nAnswer: -344288.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*g**3*n**2 - 85*g**3 + 4703*g**2*n**2 - 3*g*n**2 + 56*g - 3047*n**2 wrt g.\nAnswer: -42*g*n**2 - 510*g + 9406*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 573 - 328. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 98 is divided by ((-4)\/12 + -2)\/(4\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -386 - -382.776. What is y rounded to one decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(-2\/49)\/f**(-7))**(-13\/3))**(-1\/33))**1 assuming f is positive.\nAnswer: f**(403\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 1770*h + 1569990. What is f(-887)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 860 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6606763\/495 - 13347. Let v = w + 332\/495. Factor 2*g**3 + 0*g + 0 + v*g**2.\nAnswer: 2*g**2*(3*g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 115.8577 and -1.3.\nAnswer: 114.5577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand l**2 - 2 + 2 + (-5*l + 0*l + 3*l)*(l - 4*l + l) + l**2 + 3 - 3 - 3 + 3 + 2*l**2 + 3*l**2 + 2*l**2 - 4*l**2.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = 4*i + 21. Suppose 6*n - u - 12 = 2*n, u = -n - i. Suppose -n*p + 10*p - 288 = 0. What is the remainder when 142 is divided by p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -235, -17, -115 in ascending order.\nAnswer: -235, -115, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2428275 a multiple of 415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 9060526807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5468723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -84, 7 in descending order.\nAnswer: 7, 0, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/5, 3.4, -2\/7, 6?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -149 - 209. Round k to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/((4 + 27\/(-6))*-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 69, -145, -3, -2, 9 in increasing order.\nAnswer: -145, -3, -2, 9, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -5 + 4 + 5 + (2 - 9). Put -2\/13, -0.033, 0, b in increasing order.\nAnswer: b, -2\/13, -0.033, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9487, 9444, 9397, 9346, 9291, 9232, 9169?\nAnswer: 9102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 2*h**4 + h**3 + 43*h**2 - 3*h - 43*h**2 - 3 in the form m + t*h**4 + a*h**2 + r*h + f*h**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 14*(-1)\/(-2) - 3. Solve -d + q = 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -12413, -47566, -106155, -188180?\n\"Answer: -11718*f**2 + f - 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 2*o + 1)*(4 + 4 - 6) - 1 + 379*o - 429*o - 815*o)*(2*o**4 + 0*o**4 - 3*o**4).\nAnswer: 861*o**5 + o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 2*i = 3*i - 235, 3*w + 4*i + 215 = 0. Let k = w - -120. Let g = 47 - 36. What is the highest common factor of k and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16382, 16752, 17122, 17492, 17862?\nAnswer: 18232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-26)*(-18 - (-33 - (14 - 30))).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*w**3 + 0*w**3 - 7*w**3 - 3*w**3 + w**3.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -877, -15, -3 in decreasing order.\nAnswer: -3, -15, -877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8272612 and 19852?\nAnswer: 57908284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.89 - 0.09. Which is the closest to j?  (a) -4  (b) -0.2  (c) 5  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2463 + 2471. Calculate the greatest common divisor of 1040 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 614064 * -85.\nAnswer: -52195440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 + -3. Let s = -916 - -2744\/3. Which is the second biggest value?  (a) z  (b) s  (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the second derivative of 0 + 26*m + 0*m**4 - 1\/6*m**3 - 27\/2*m**2 - 13\/5*m**5. What is the second derivative of a(o) wrt o?\nAnswer: -312*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*t = -12*t + 104. Let r be (-1 - -5)*2\/(0 - t). Solve -11 + r = -7*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57 - -11 - (4 + 4 - ((-2 - -15) + -10))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - -1 - (0 + -2) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5.9 + -10. Let g = 1.1 + y. Let k = -0.04 + 13.04. Which is the second biggest value?  (a) -5  (b) g  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 286 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 839 (base 11) to base 3.\nAnswer: 1101102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -637*s - 12*s + 9735 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 + 0)*(4 + 1 + 0)*(2*s + 2*s - 5*s).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 51*u**3 + 4*u**2 - 6*u + 7. Let y be v(2). Suppose -y = -12*n + 1. Suppose 5*k - 4*m = 405, 3*k - n - 200 = 4*m. List the prime factors of k.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 2*c**2 + 1. Suppose -4*j + 22 = -2*l - 0*l, 4*j + 4*l - 4 = 0. Let p be w(j). Suppose p = 5*y + 8. Solve -4*n = n + y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = 4*u - 19. What is the highest common divisor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 703 is divided by 104?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**2 - 128560*q - 2065959200.\nAnswer: -2*(q + 32140)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*a = -5*a - 41448. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3070934361.9999297 - 3070934152. Let u = a - 210. Round u to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 209, 385, 511, 569, 541, 409, 155?\n\"Answer: -3*s**3 - 7*s**2 + 218*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 515217311 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -0.2  (b) -0.674  (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -c**2*j**3 - 37*c**2*j**2 + 2*c**2 + c*j**5 wrt j?\nAnswer: -6*c**2 + 60*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/122 and (-11137)\/(-1032) - (-7)\/((-105)\/10).\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 4*t**2 - 7*t - 8. Let q be s(-8). Let n = q - 195. List the prime factors of n.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11060 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.39 and 1869.\nAnswer: 4466.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -57 - -59. What is the common denominator of (-55)\/(-9) - n\/(-4)*4 and -29\/21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11520444 (base 6) to base 8\nAnswer: 1317154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the first derivative of -x**4\/12 + 3*x - 2. Let m(w) be the first derivative of j(w). Factor m(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -131*y = -137*y. Sort 2\/15, y, 2, 0.8 in increasing order.\nAnswer: y, 2\/15, 0.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -37*j**5*q**2 + 663982*j**3*q**2 + 96275478*j**2 - 3*q**2 wrt j?\nAnswer: -2220*j**2*q**2 + 3983892*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9458*j*k**3 - 20067*k**3 wrt j?\nAnswer: 9458*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -4667662222 - 1.8527\nAnswer: -4667662223.8527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 10 = 2*h - 5*f, -5*h + 5*f + 5 = 0. Solve h*k = -p + 4, 5*k + 4 = 5*p + 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (448\/(-48))\/14*-36*36\/32?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-170)\/68*(2 - (-91)\/(-39))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3822107391.\nAnswer: 3, 15728837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(3\/5)*x*x)\/(x\/x**(-4\/19)))\/(x*x\/(x*x**(-4\/3)\/x)*x**(-2\/29)) assuming x is positive.\nAnswer: x**(-15496\/8265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 496.4 - 496.4000007886. Round u to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22935, -22942, -22955, -22974?\nAnswer: -22999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2597606999 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -1959111*i**2. Let m(z) = -z**2. Give p(m(d)).\nAnswer: -1959111*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (-3 - (4 + -6)) + (10 - 12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in eleven quarters of a day?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 2\/37  (b) -2023  (c) -2\/17  (d) 2\/13  (e) -5  (f) 0.3  (g) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 93\/16 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 5, a: 2, k: 5, q: 1, r: 2, e: 5}. What is prob of picking 1 a and 1 q?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2023 and -2.5?\nAnswer: 2025.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + -2. Let s = 680 + -682. Which is the nearest to n?  (a) -4  (b) 1  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 divided by -349?\nAnswer: -101\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1235301, -4941205, -11117713, -19764825, -30882541, -44470861, -60529785?\n\"Answer: -1235302*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -5*q + 11. Let i(b) = 12*b - 5 + 0*b - b - 16. Let k(r) = 9*a(r) + 4*i(r). Give k(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 22 + 14 - 51 + n + 15. Let j(q) = 5*q - 37. Give a(j(v)).\nAnswer: 5*v - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 8, n: 3}. Give prob of sequence nfnn.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (11*(-36)\/(-484))\/(1\/((-3)\/(-9)))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -63?  (a) 4\/47  (b) 3\/4  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 28  (b) -4  (c) 1\/2  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1083 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*d - 54*d**3 + 318497 - 2*d - 318497.\nAnswer: -54*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -6*b + 11. Let x(k) = 2*k - 4. Let v(z) = -4*w(z) - 11*x(z). Let l(o) = -5*o + 0*o + 2*o. Determine l(v(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**2 + 13*l + 24. Let f be u(-10). Let r(w) be the third derivative of w**4\/12 - w**3\/3 - 93*w**2. What is r(f)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6003 is divided by 1007.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 AM and 4:02 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do 1\/2 and -3036 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*k + 18 - 23 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25*t**2 - 23*t**2 - 163*t**2)*(10*t + t + 4*t)*(t**2 + t**2 + 0*t**2).\nAnswer: -4830*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 258 = 3*g - 5*h, -298 + 34 = -3*g + 3*h. List the prime factors of g.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 + 12*p**2 + 7*p + 10. Suppose 2*g = -1 + 13. Suppose 7*h = -g + 90. Is 13 a factor of q(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = 4*r + 2*a - 48, 2*r = -5*a + 40. What is the smallest common multiple of 32 and r?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 2*g**2 - 13*g - 28. Determine a(11).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1122102201 (base 3) to base 13.\nAnswer: -11989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.974706ug in milligrams?\nAnswer: 0.007974706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -3*o - 13. Let l(v) = v + 4. Let h(f) = f**2 + 15*f + 19. Let s be h(-13). What is s*l(m) - 2*g(m)?\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 679, 663, 627, 565, 471, 339, 163, -63?\n\"Answer: -k**3 - 4*k**2 + 3*k + 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -544 - 537 + 1082 - 353*l**2 + l**2 + 3*l**2 - 6*l**2 + (-l**2 + l**2 + 2*l**2)*(-3 - 3 + 5) - 11*l**2 + 12*l**2 + 4 - 5.\nAnswer: -356*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 58 times -0.16\nAnswer: -9.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -2*n + 1. Let y be 11\/((-66)\/12) + 362. Let i = 356 - y. Calculate g(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/3  (b) -4  (c) 948\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 1022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000020928 rounded to 7 dps?\nAnswer: -0.0000209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -152*o - 177*o - 349*o = -1005*o - 45453 for o.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -34392 divided by -4\nAnswer: 8598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 10*o**3 + 6*o**2 + 12*o + 11. Let p(t) = t**3 + t**2 + 2*t + 1. Let b(g) = -k(g) + 6*p(g). What is the first derivative of b(u) wrt u?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 2*u = -42, 5*l - 2*u + 3*u - 63 = 0. Let c = l - 6. Solve k = a - 2, 4 = 4*k - c*k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j - 4090 = 4*j - 2*z, -2*j - 4*z = -2036. What is the greatest common divisor of 160 and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -499 - -501. Suppose 3*z + 3*p = 6, 6 = -p - 2*p. Solve -j = -q + z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddppdpppppdppd. What is prob of picking 1 d and 2 p?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tyu when three letters picked without replacement from {f: 3, t: 1, u: 5, y: 3}?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2879 + -107a?\nAnswer: 17aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 13*n**3 - 6*n**2 + 6. Let j(s) = s**3 + 4*s**2 + 4*s + 5. Let z be j(-3). Let q(r) = 1 + r**3 - 44*r**2 + 19*r**z + 24*r**2. Give p(x) - 6*q(x).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14\/1119 - -44443\/4476. What is the common denominator of y and 995\/(-60) - 6\/(-24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/10*(-765)\/(-2754).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.02 - 0.019984. Round l to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xox when three letters picked without replacement from {o: 4, x: 7, z: 2}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 28*z**2 - 4776*z + 2705. Determine s(170).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**3 + 18*r**2 - r + 18. Let b be p(18). Let x = 11 + -12. What is the nearest to b in 0, x, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - z - 15 = 4*q, -2*q + 20 = -4*z. What are the prime factors of 9\/q*(-368)\/(-4)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 327643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1114857  (b) 1\/2  (c) 5  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2517  (b) -4  (c) 0.2  (d) 166\/15  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a - 98 + 91 = 0. What is the smallest value in 0.2, -7\/4, a?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 + 8*r**2 - r - 2. Let t be l(6). Let q = -488 - -432. Let m = t + q. What is the remainder when m is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 57  (b) 5  (c) -5  (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1574.8 rounded to the nearest ten?\nAnswer: -1570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -10, -2, -20, -26, -9 in descending order.\nAnswer: 0, -2, -9, -10, -20, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that q**5 + 12*q**4 + 11*q**3 = 0.\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 46*x**2 + 4*x**3 - 16*x**4 + 19*x**4 - 4*x**4 as u*x**4 + r*x + a*x**3 + f + y*x**2 and give y.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 8800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2.9 times -0.5764\nAnswer: 1.67156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + v - 362 = 0, 4*v = 3*d + 93 - 301. Let z = d + -50. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 97099414?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.1, 0.0119, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 PM and 11:29 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 340037.4cm in kilometers?\nAnswer: 3.400374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/19)\/((-74426)\/41591)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 12, -530, 1, 2, 4.\nAnswer: -530, -9, 1, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-107)\/2140*(-105)\/(-14). Which is the second smallest value?  (a) -110  (b) p  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -82*b - 1075. Calculate f(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**3 - n + 9. Let t be b(0). Let g = t + -4. Suppose -2*y + g = 2*d - 5, 4*d - 16 = -3*y. Solve s - 22 = -y*c, -c = -2*s - 3 + 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 60 - 38. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5816 or 5752?\nAnswer: 5752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 47*c - 14*c + 231. What is the hundreds digit of (c - 36)\/((-1)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3552123 divided by 1184041.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -494\/5, -73, -8.599.\nAnswer: -494\/5, -73, -8.599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1992 + 1996. Let t be 1\/(-3)*(-10 - -4). Solve x - u = t*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**3 - 3*u**2 - 1. Let k = 6 + -3. Let r(q) = -q**3 + 4*q**2 - 3*q - 2. Let l be r(k). Give n(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -288*w + 590 - 1077 = 665 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*u + 52 = -1138. Let s = 68 - 37. Calculate the remainder when u is divided by s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 PM and 7:21 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -21\/10 + 11\/5. Let f = -0.1534 - 3.8466. What is the nearest to -1\/5 in f, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -6\/11, -16, -0.5, 22631?\nAnswer: 22631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 469 by -2.\nAnswer: -469\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 5*y**2 + y - y**3 + 9 - 9*y + 4*y**2. Let j be t(8). Let w = j + -6. Solve 3 - 6 = -w*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13970874 to the power of 1\/3, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1220556037 to the power of 1\/2, to the nearest integer?\nAnswer: 34936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -24597, -196570, -663255, -1571976, -3070057?\n\"Answer: -24554*d**3 - 32*d**2 + d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y and 1 r when four letters picked without replacement from {r: 4, z: 1, u: 1, d: 6, s: 5, y: 3}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-12)\/(-2) + (-918)\/(-17). What is the third smallest value in 1, 0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 126576666?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = -18*c - 31*c + 1080 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 8:10 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/640 and 79\/2248?\nAnswer: 179840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) 1\/2  (c) 5\/6  (d) 0.108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -23 + 126*v**3 + 308*v**2 - 35*v**3 + 23 - 95*v**2 wrt v.\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.02 + -0.1. Let q = r + 0.0800047. Round q to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**3 + 3*c**2 + 13*c - 13. Let p be d(5). Solve 0 = 3*m + 5*r + 17, 0*m - 10 = -p*m + 2*r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*s = -3*b + 10*s + 14*s, 0 = 3*b - 3*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 38980 and 560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (280\/64 + -4)*28\/(-105)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 272.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-18 - 14 + 35)*(-2 + 5 - 1)*(-5*m + 20*m + 7*m) in the form p + v*m and give v.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the first derivative of 17*t**6\/1080 - 4*t**5\/45 - t**4\/18 + 4*t**3\/3 - 56. Let o(u) be the third derivative of k(u). Factor o(j).\nAnswer: (j - 2)*(17*j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(1 + sqrt(180)) - sqrt(180) - sqrt(180) - (-4 + sqrt(180) + -1 + sqrt(180)))*-5)**2.\nAnswer: -6000*sqrt(5) + 112900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -244*a**4 - 527.\nAnswer: -976*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 35, 164, 381, 686, 1079, 1560, 2129?\nAnswer: 2786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -3564, -28635, -96680, -229185, -447636, -773519, -1228320, -1833525?\n\"Answer: -3581*r**3 - r**2 - r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -116 + 115. Let x = 27 - t. Find the first derivative of -2*h + h - 11*h + x + 16 wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:58 AM and 3:35 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 33*g**2 + 8*g + 7. Suppose j - 31 + 33 = 0. Let p be r(j). Suppose -2*o - 250 = -2*a, a - o - p = o. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 116948.\nAnswer: 2, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.0413 - 1.0413. Put 38, -3, 0.3, k in descending order.\nAnswer: 38, 0.3, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, -47\/3, 5\/1281, 2?\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 329*u**3 - 5*u**2 + 5*u - 2. Let h(m) = -494*m**3 + 8*m**2 - 8*m + 3. Let c(w) = -5*h(w) - 8*j(w). Is c(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4 + 9)*(4\/5)\/2. Let r = 6 - -9. Suppose y*f - 9 = r. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*g**3 + 2*g**3 + 2*g**3)*(-128*g - 9 - 130*g + 300*g) in the form q + a*g**3 + u*g**4 + m*g + f*g**2 and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -204\/11 + 6302\/341. What is the third smallest value in 4, x, -0.2, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -9054 - -5?\nAnswer: -9049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32 and 827?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*b - 23*b - 557997 = 0. Let x be (2 - b) + (1 - 2). What is x rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*a + 1 + 176*a**2 + 4 - 89*a**2 - 84*a**2 to the form c*a + l*a**2 + v and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/5?  (a) 5  (b) -38  (c) 2\/751  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2092 and 634922.\nAnswer: 1269844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 12*l - 49. Let q be n(22). Let i = q - 101. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*b - 24*b = k - 32, 2*k = 5*b - 68. Calculate the lowest common multiple of b and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/(-4400))\/(2\/(-8))?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/1413491 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1920554 is divided by 455.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 243338014 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add -102 and 96.92.\nAnswer: -5.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 5) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -2*j**3 - j**2 - 3. Let t(w) = -3*w**3 - w**2 - 490*w - 3. Determine t(b) - v(b).\nAnswer: -b**3 - 490*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 - 22*r - 1. Let k(q) = 137*q**3 + 28*q**2 + 110*q + 5. Give -5*d(g) - k(g).\nAnswer: -132*g**3 - 28*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 31 + -1726067?\nAnswer: -1726036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -125 - -196. Suppose -x = -1, -2199*m + x = -2203*m - 699. Let l = k - m. Does 26 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4104097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (73 - 12*u**2 - 73)*(8 - 15 - 7 + (0 + 0 + 1)*(1 - 2 + 2)).\nAnswer: 156*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1226?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, 5, 16, -17 in decreasing order.\nAnswer: 16, 5, 4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*t**4 + 19*t**3 + 4*t**2 + 742.\nAnswer: -12*t**3 + 57*t**2 + 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 8*n + 6. Let s be q(-3). What is the tens digit of (-2)\/1 - (s - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.2 or -12980?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.267 + -0.133. Let i = -51 + 355\/7. Let s = 2 + -3. What is the nearest to i in -0.1, s, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/16328 and -83\/7536?\nAnswer: 97968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 7) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -1. Let n(c) be the first derivative of c**2\/2 + 1. Suppose -10*i + 7*i = -6. Calculate i*n(j) + s(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 241194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (1512\/44)\/6 - 4 and ((-11)\/(-5))\/(48\/40)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -374.3941355 to two dps.\nAnswer: -374.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + -5. Suppose -p - f + 0 = 0. Let s be (-3)\/(-12) + p\/12. Which is the third smallest value?  (a) s  (b) 4  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**4 + 984*z**3 - 3925*z**2 + 4902*z - 1960.\nAnswer: -(z - 980)*(z - 2)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6 + 1)*(-185995 + 8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2639520.\nAnswer: 2, 3, 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 11\/4 of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 14) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0  (b) -4  (c) 1  (d) 57  (e) 4\/3  (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 192 + -115. Let r = 80 - i. Let g be 6\/(3 + (-7)\/3). Calculate the highest common factor of g and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -41 - -29. Let x be -3 - (-27)\/(-6)*a. Suppose z - x = -2*z. Calculate the remainder when 32 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -4 - 0. Solve w + 2 = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11011010111110011 (base 2) to base 7.\nAnswer: 644603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p - p - p)*(1 + 0 - 3) - 3 - p + 3 - p + 2*p - 3*p + (1 + 5 + 0)*(-p - 2 - 1 + 6).\nAnswer: -5*p + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 10 = 4*h. Determine u so that -u**3 + h*u**3 - 2*u**4 + 2 + 4*u**2 - 4*u - 4*u**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2052?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 142 - -16 - 15\/(-3). Suppose 153*x = o*x - 150. Let l = -33 - -138. Calculate the greatest common factor of x and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.09  (b) 216.36  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the third derivative of u**6\/120 - 7*u**5\/60 + 7*u**4\/24 - 3*u**3\/2 - 2*u**2. What is x(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -44480, -44805, -45130, -45455, -45780, -46105?\n\"Answer: -325*n - 44155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uzz when three letters picked without replacement from {y: 11, z: 6, u: 1}.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 3146957 divided by 2\nAnswer: 3146957\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 28*y = -23*y + 6784, 0 = -4*y + 16. Does 108 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8318 - 4822. Round u to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -286*g**3 - 406*g**2 + 46*g + 166 = 0. What is g?\nAnswer: -1, 83\/143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1045 + -1789. Let q = c - -748. Solve -4*r + q = -0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 3595379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1430594 hours in minutes?\nAnswer: 8.583564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -34838286 divided by 7?\nAnswer: -4976898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 31*t**2. Let q(z) = -2*z**2 - 12. Let s(h) = -9. Let r(b) = -3*q(b) + 4*s(b). Determine i(r(l)).\nAnswer: 1116*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -723*g + 57423. Give u(80).\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11009 and 2688418.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 219  (b) 0.5  (c) -4  (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**2 + 431*x - 65. Give a(0).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 divided by 6?\nAnswer: 80\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(847) + 3*sqrt(847))*-3.\nAnswer: -132*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -15 + 18 + -7 + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 42\/11 and 4\/3163?\nAnswer: 34793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 + 114\/(-4))*2. Let c = g - -43. Let j(z) = -z**2 - 22*z + 34. What is the units digit of j(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2  (b) 11  (c) 0.3  (d) -1\/120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.8 + -1. Let t = -0.13 + -12.87. Let m = t + 16. Which is the third biggest value?  (a) m  (b) 0.3  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 3*u - 13. Suppose -5*w - u*v = -19, -5*w - 2*v + 20 = 3*v. Let z = 35 + -26. Calculate the lowest common multiple of z and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:55 AM and 1:19 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -3*((sqrt(76) - sqrt(76)*-2) + -1) + (2*((sqrt(76) - sqrt(76)*2) + sqrt(76) + sqrt(76)))\/((sqrt(4) - sqrt(64))*2))**2 + 1.\nAnswer: -770*sqrt(19)\/3 + 57925\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10579 - 5953. What are the prime factors of w?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -209*f + 219*f + 20 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0  (b) 1.9  (c) -8\/3  (d) 0.0949  (e) 15  (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 15 = -w. Let d be (-230)\/(-40) + 1*2\/8. Let z be d + 2 + 60\/(-25). Is z smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the second derivative of b**4\/12 + 5*b**3\/3 - 6*b**2 + 15*b + 12. Give v(-9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 63419631?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(99) - (sqrt(99) - (sqrt(99)*1 + sqrt(99)))) + sqrt(99))*-2 + sqrt(99))\/sqrt(9).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the third derivative of -m**5\/60 - 7*m**4\/24 + 2*m**2. What is the tens digit of l(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnwwnewwwenenwnewez. What is prob of picking 1 w and 3 n?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 1*-5*2*(2 + sqrt(1088))*-6.\nAnswer: 119 + 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ojo when three letters picked without replacement from oooooojjojjooojoojj?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = -d + 917. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -28 - -248\/9. Let y be (-2 + 32\/17)\/1. What is the closest to 2\/5 in c, 2\/9, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*d + 0 + 0 + 9*d in the form h + y*d and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 840 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - j = -7549, -5*x + 20*j - 19*j = -9443. Calculate the greatest common divisor of 118 and x.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cepp when four letters picked without replacement from eqcqalqepqp.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2*l - 2)*(-l - l + l) + l**2 - l**2 + 2*l**2 + (3*l - 3*l - l**2)*(0 - 1 - 1) + 4*l**2 + 6091*l - 11 - 3056*l - 3041*l.\nAnswer: 6*l**2 - 6*l - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*m - 9997 = -6663 + 34514. Solve m*j - 2003*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -g + 4534*g**2 - 4536*g**2 - 37*g + (2 + 0 + 0)*(-43*g**2 + 3*g - 3*g).\nAnswer: -88*g**2 - 38*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*d**2*j*x**2 - 12*d**2*j + 1519*d**2*x - 29149*d*j*x**2 - 2*d*j*x wrt d.\nAnswer: 4*j*x**2 - 24*j + 3038*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 648 - 744. Find the common denominator of (-146)\/54 + (0 - -1) and -3 - (-7 - 884\/u).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1543*f + 2209*f - 1148*f + 1031*f)*(-4 + f + 4).\nAnswer: 3635*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4*(-1)\/2*-10*1. Let c be ((-6)\/105)\/(4\/l). Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 + 12*p**2 - 8*p. Let z be f(-13). Let k = z - -67. Let m(o) = -2*o + k*o + 4*o - 3*o. Give m(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -47146 - -47160. Solve -99*y = -97*y + c for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.726 - 43.726. Is z > 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2037064 to 3 dps.\nAnswer: 0.204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*n**5 + 1149*n**4\/2 + 4365*n**3\/2 - 17505*n**2 - 52266*n - 26532 = 0. What is n?\nAnswer: -6, -2, -2\/3, 11\/2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 391644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:59 PM and 5:09 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 128\/5 + (-2601)\/4335. Let w be (42\/9)\/((-4)\/(-6)). Solve -w*g + 12*g - b = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*a = 441674 + 233578. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 3*s. Let j(n) = 8*n**2 + 3*n + 3. Let l(r) = -24*r**2 - 8*r - 8. Let c(h) = 16*j(h) + 6*l(h). Give c(v(b)).\nAnswer: -144*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - 2 - -12) + -12 + -1 + -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 495672261.038578 + -495671694. Let l = r + -566.321. Let b = l + -0.717. Round b to five decimal places.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -3*r - 31. Let b(g) = -125*g - 7. Let l(f) = -b(f) + 4*u(f). What is l(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 3*l = -3, -2*a - 2*l = -3808 + 3814 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 56.1651 millilitres?\nAnswer: 0.0561651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 292 is divided by 60?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1728*m + 1737*m - 3468*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 252\/(72\/6)*(4 - 8)*(-15)\/(-20)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**3 - 6*d**2 - 2*d + 19. Let z be n(6). Calculate the greatest common divisor of 14 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**4\/7 - 5*t**3\/7 - 41*t**2\/7 + 45*t\/7.\nAnswer: t*(t - 9)*(t - 1)*(t + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the first derivative of -x**3\/3 - 11*x**2\/2 + 12*x + 1. Let y be f(-12). Solve y = -i - 4*i + 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**2 - 8*m + 3. Let i be j(8). Let f = 43 - 44. Let c be (-4)\/(-1) + (-1 - -1). Sort c, i, f in descending order.\nAnswer: c, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -2*y - 28. Let n be f(-14). Solve -5*r = 3*k + 20, 2*k - r - 1 - 3 = n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(75\/6) + 3\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1921 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-15)\/(-10))\/((-3)\/(-4)). Solve -m*t = -0 - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -23312 or -23311?\nAnswer: -23312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 5\/22  (b) -0.6  (c) 30  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 60*r + 4655. Calculate i(-76).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 15611, 32186, 48761?\n\"Answer: 16575*j - 964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 875 or 877?\nAnswer: 875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -15, 3, 4.\nAnswer: -15, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 5*b + b**2 + 3*b - 3*b + 4. Suppose 0*s - g + 2 = -s, 0 = -s - 4*g - 12. Let d be q(s). Solve d = -t + 2*x - x - 10, -t + 10 = 3*x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65*a**2 - 138*a**2 + 5*a**3 + 73*a**2.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2077 divided by 2?\nAnswer: -2077\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -0.07, -5, 0.033, -2 in decreasing order.\nAnswer: 0.033, -0.07, -0.5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 23*u**2 - 75*u + 4. Determine y(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (10 + -1) - (-198 - 84 - -225).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2 + 3)*(2\/(-10) + 0)*-35. Solve 0 = -2*f + 5*m, -2*m = 4*f - c*m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 750 - 511. Let c(d) = d**3 - 2*d**2 - 5*d. Let q be c(4). Does 21 divide q\/(-16) - r\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (63\/(-84))\/(156\/32)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7371 - 7360. Solve -11*t = d*t + 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1659211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -39*r - 3150. Let t be h(0). Calculate the remainder when (t\/300)\/(2\/88*-3) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.4  (b) -0.5  (c) -1  (d) 13  (e) -4  (f) 1429\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.2  (b) -2544997  (c) 0  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 361 is divided by 342.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + -4)**2*-5 + (sqrt(84)*4)\/sqrt(12) + -2*-5*sqrt(28)*-2.\nAnswer: -115 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -191 - -131 - -30 - ((1 - 4) + 1)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-422 - -441) + -15 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*i**3 - 42*i + 19*i**3 - 262*i.\nAnswer: 21*i**3 - 304*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*n + 3*l - 9 = 0, -3*l - 10 = n - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*b**4 - 7412451*b**3 - 47245480*b**2 wrt b.\nAnswer: -168*b - 44474706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -8\/97 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together 11514732391 and -250.\nAnswer: 11514732141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/(-24)*(-6)\/(-9)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -661*u - 974. Determine k(4).\nAnswer: -3618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 0 = 2*u - 65, -108 = -3*u + 4*x. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**42\/s)\/s)\/s*s*s\/s**(-11\/2) assuming s is positive.\nAnswer: s**(93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*y**2 - 7*y**2 + 4*y**2 + 2 - 2 - y**2 + (y - 6*y + y)*(-1 + 1 - 2*y) to the form p*y**2 + m*y + v and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 435414 - 31?\nAnswer: 435343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21 (base 3) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -41 - -173. Suppose -12*v - j = -444. What is the lowest common multiple of v and 14?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, 3\/10.\nAnswer: -2, 3\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 7.200751 nanometers?\nAnswer: 0.0000007200751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c\/(c*c\/(c**(2\/3)\/c))*c)\/c)\/c*c)\/c*c**(-3\/5))**(-6\/29)*((c\/(c**(-1\/11)\/c))\/c*c**(4\/9))**(5\/4) assuming c is positive.\nAnswer: c**(36262\/14355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 35604 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 29, 2\/7, -0.3, 0.3, 0.5, 35, 2 in decreasing order.\nAnswer: 35, 29, 2, 0.5, 0.3, 2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 206  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 2*y**2 + 15*y - 98. Let a = -77 - -110. Calculate the remainder when a is divided by t(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 500 divide 113217000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -280006310*g**3 + 5*g + 39677863 wrt g.\nAnswer: -1680037860*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + 77352?\nAnswer: 77350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 2 + 5)*(4*k + 2*k - 4*k) + (2 + 2 - 2)*(24*k - 24*k - 49*k) + (-3*k - 6*k - k)*(-2 + 4 - 4) to p + b*k and give b.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 + 15 = -v. Let y be (2*v)\/(4\/(-42)). Suppose -203 - y = -4*k. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4494 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.01, -881, 1\/4, 0.8, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(2 + 5*sqrt(891)*1 + sqrt(891)) + -3.\nAnswer: 9 + 324*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27305, 54645, 81985, 109325, 136665, 164005?\nAnswer: 191345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 + -2 + 4 - (126 + -61 + -3).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -356*i**3*p + i**3 - 14*i + 3566*p**3 - 1245 wrt p.\nAnswer: -356*i**3 + 10698*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 200*j + 4*l - 3*l = -3004, -3*l + 29 = -3*j + l - 0*l for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 95062.91 decades?\nAnswer: 9506.291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 577 + -542 - (2 - -62)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 4*s + 5*s - 5.\nAnswer: s - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -97, -412, -945, -1696, -2665?\nAnswer: -3852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -4*g**2 + 1. Let t be r(1). Let y = 0.9 + -0.5. Let z = 0.1856 + -0.2856. Which is the closest to z?  (a) y  (b) -2  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((17 - 49 - 29)*(-6*i + 4*i + i) + (i + 1 - 1)*(-3 + 5 + 0))*(-3 - 1 + 2).\nAnswer: -126*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 447 = -s, 0 = -2*k - 0 + 8. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + -213?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 42.94 - 43. Let y = 0.4 - 0.7. Which is the second smallest value?  (a) y  (b) -2  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 354 + -245. Suppose 2*l = -3*q + 69, 4*l + q + o = 7*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8789 by 3.\nAnswer: 8789\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/3*708\/7316.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -130*s - 3200 - 1740 = 0 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 418.0854 centuries to years.\nAnswer: 41808.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1237 - -1231. Which is bigger: w or 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2474991 (base 10) in base 2?\nAnswer: 1001011100001111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*(-112)\/288*-6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**39)**33\/(p**(-47)\/p**(11\/8)) assuming p is positive.\nAnswer: p**(10683\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 7*m**2 - 4. Let r be c(-3). Let x(t) = -45*t + 27 - 48 - r. Let z(w) = 5*w + 9. Let f(n) = 4*x(n) + 35*z(n). Differentiate f(l) with respect to l.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-483)\/27 - (270\/20 - 12 - (-550)\/(-396)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29.4 - 29.3521. Let d = -0.046 + h. Round d to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 53.67377km?\nAnswer: 53673770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-78)\/288*33 - (-1)\/(-16)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.2, 1\/29, -4, 30, 3, 6, 5 in decreasing order.\nAnswer: 30, 6, 5, 3, 2.2, 1\/29, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/29?  (a) 2\/5  (b) -1\/6  (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 251008814 + 1606.65.\nAnswer: 251010420.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the first derivative of -c**4\/18 - 7*c**3\/9 - 10*c**2\/3 - 32*c - 9. Let h(u) be the first derivative of z(u). Factor h(i).\nAnswer: -2*(i + 2)*(i + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*u**3 - 33*u + 74411*u**2 - 74411*u**2 + 31*u.\nAnswer: 2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-1*32\/18)\/(74\/((-740)\/(-20)))\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 488329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 31 - 2\/(6\/(-3)). Let z be (-8)\/36 + i\/(-18). Let s(y) = 2*y**2 + 4*y + 3. Let v be s(z). Solve 3*u = 2*u + 3*m - v, 0 = 3*u + 3*m + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.284 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1275, 5045, 11335, 20151, 31499, 45385?\n\"Answer: b**3 + 1254*b**2 + b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 662 or 670?\nAnswer: 670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7, -27, -53, -85, -123, -167?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 5 + 6. Suppose -397*y - 5 = -402*y. Let f be o + 11 + y + 1. Solve 2*h = h - f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round 6904266.1 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 6 = -5*n - 7, 5*f = -2*n + 47. Suppose 5*c = 2*b - 28, -4*b - 6*c = -4*c - 8. Suppose 3 + f = b*i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 9:16 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 819.99 - 820. What is the biggest value in -0.4, -0.7, -2\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2807 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k = 5*p + 12, 4*k - 5*p - 2 = 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 193946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2 + 2*o. Let p be y(-4). Suppose -p = 2*m + 6. Let j = -4 - m. Solve -h - 8 = -j*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4\/9  (b) 7  (c) -2\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -32267.7679 to the nearest 100.\nAnswer: -32300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c - 1338 + 1018 = 0. Let h(w) = 2*w + 6. What is the smallest common multiple of c and h(3)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -3*g**3 + 2*g**2 + 2*g - 17. Let h(a) = -a**3 + a**2 + a + 1. What is 2*h(c) - w(c)?\nAnswer: c**3 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 5*t - 25 = 0, -12 = -4*t + 8*t. Let g(m) = 29 + 36 + 4*m**f - 69. Let d(u) = 13*u**2 - 13. Determine -2*d(c) + 7*g(c).\nAnswer: 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and 1189.96.\nAnswer: 3569.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 190 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 515 is divided by 128?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 0.1  (b) 2\/19  (c) 1\/9  (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 15*d**2 + 745*d + 24. Let b(i) = 2*i**2 - i + 4. What is 6*b(s) - t(s)?\nAnswer: -3*s**2 - 751*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**2. Let c(y) be the first derivative of -7*y**4\/6 + 2*y - 3. Let u(i) be the first derivative of c(i). Give u(o(z)).\nAnswer: -14*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 163 or 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -97*a - 8240. Give p(-85).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**2. Let l be p(-1). Let h(x) = x**2 + 1. Let f(u) = -36 - 7*u**2 + 53 + 94*u - 28 - 95*u. What is l*f(c) + 6*h(c)?\nAnswer: -c**2 - c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 945 - 2163. Let f = 1707 + h. Is 55 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1649159999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1050828*h = -1050126*h + 68094 for h.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 4, g: 1, p: 9, k: 2}. What is prob of sequence kgr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 2*h**3 + 34*h**2 - 74*h + 2894. Calculate u(-21).\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v**2 + 3*v**2 + v**2)*(-440 - 834 - 172 + 2449).\nAnswer: 2006*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7527 (base 9) to base 4.\nAnswer: -1112131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 328767, 1315129, 2959083, 5260629, 8219767?\n\"Answer: 328796*o**2 - 26*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(2\/9)*t)**(-3\/20))**(-26\/5)\/((t*((t\/t**(-1\/8))\/t)\/t)\/(((t\/(t\/(t**0*t)))\/t)\/t)*t**(-1)*t**(-2)) assuming t is positive.\nAnswer: t**(433\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 9*x + 2. Let m be c(-3). Let f = -21 - m. Let w = 0.19 - 0.39. What is the nearest to w in 2\/7, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 48, 195, 440, 783?\nAnswer: 1224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, 24, 45, 66?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 162368810 and 6915?\nAnswer: 2305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - -5)\/(6\/(-5)) + 1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 877520049.\nAnswer: 3, 7, 43, 971783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -72*g - 72*g - 22*g**4 + 192*g**2 + 60*g**3 - 112*g + 26*g**4 = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1824.079 to the nearest 10.\nAnswer: -1820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2001*y**2 + 14564*y + 1923*y**2 - 14564*y.\nAnswer: -78*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19 and 7543?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 82  (b) 76  (c) 0  (d) -97  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 13\/3 + 52\/(-39) + 30. Suppose -2*z + 6 = 4*c, -3*z = -0*c - 2*c - q. Let r(t) = 5*t - 111*t**3 - z*t**2 + 112*t**3 - 11 + 4*t. Calculate r(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-3)*122\/(-1830)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 223546?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 + 3*k - 12. Give p(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3002 + 48057\/16. Find the common denominator of 61\/68 and q.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9*f**2 - 14*f**6 + 0*f**6 + 49*f**2 wrt f?\nAnswer: -1680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*m + 363*i + 1756 = 367*i, 171 = 3*m - 5*i for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 174 = -773*z + 802*z. Solve -4*r = 2*t - 10, -3*t + 15 = 3*r - z*r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.157 in -23, -3\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**3 - 19*s**2 + 12*s - 8. What is z(19)?\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 v when three letters picked without replacement from bxvbvbqxxxqx.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4d4 (base 16) to base 14.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.1 rounded to one decimal place?\nAnswer: 16.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) -2\/9  (c) 0.4  (d) 1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 410426684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 2\/35  (b) 9  (c) 0.5  (d) -1\/5  (e) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5179 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + 4 + 10 - 78*w**2.\nAnswer: -78*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111 - -1001110110010010110000100?\nAnswer: 1001110110010010101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 557 - 537. Solve 5*b + 5*u - t = -0*u, -u + 14 = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2477)\/(14\/28*(-3 + 1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 289184.\nAnswer: 1\/289184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 95557, 191075, 286557, 381997, 477389, 572727, 668005?\nAnswer: 763217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**2\/3 + 195743*k\/3 + 1761444.\nAnswer: (k + 27)*(k + 195716)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-254636)\/(-32))\/((-2)\/(-16)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -43 + 69. Let b = 26.3 - g. Which is bigger: b or -6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:23 PM and 3:01 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 - -6 - 2 - 1309. Let h = 4349 + z. Suppose -8*w + 2565 = -h. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -8*n**2 - 18*n - 4. Let d(a) = -19*a**2 - 38*a - 8. Let f(j) = 3*d(j) - 7*k(j). Suppose t = 3*w + 2*t - 29, -2 = -t. List the prime factors of f(w).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6411 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wsydfrsf. Give prob of picking 1 f, 1 d, and 1 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -424915, -1700031, -3825223, -6800491?\n\"Answer: -425038*u**2 - 2*u + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of 0*w**2 + 0*w**3 + 92\/21*w**7 + 0 + 0*w**5 + 31\/2*w**4 + 55*w + 0*w**6. Find the third derivative of l(m) wrt m.\nAnswer: 11040*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -3, -5, 1510 in decreasing order.\nAnswer: 1510, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 51357\/33 + 6\/(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -116327 (base 10) to base 7\nAnswer: -663101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (79 - 47) + 53 + (6 - 3) + 0 + -11?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 405 = -h - 2*h, -3*r + 2*h = -1171. Suppose 0 = i - 4*i + r. What is i rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express a + 22*a**2 + 32*a**2 + 38*a**2 + 0*a in the form f*a**2 + k*a + m and give f.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -20 + 12*r**3 - 4*r**2 + 52 + 5*r**2 - 4*r**3 wrt r.\nAnswer: 24*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 133279 + -4?\nAnswer: 133275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2711 divided by 2711?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.1, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -189 - -194. Let 54*x**2 - 6*x + 44*x - y*x + 7*x**3 - 14 = 0. Calculate x.\nAnswer: -7, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6099.3 times 0.49\nAnswer: -2988.657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 - 5*m - 2. What is the least common multiple of 3 and h(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1*3)\/(9\/303). Let q = 36 + a. Suppose q = 4*h + 3*n, -h + 5*n + 14 = -3. Solve 4*o + f + 28 = -3*f, -5*o - h = 4*f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -78 - -3?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6697 = -215*d + 4977 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 13*u - 144. Let x be l(11). Let m be (5 + x)*(10\/4 - 2). Solve h + q - 5 = 0, -2*h + 5*h - m*q = -10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 5453807869?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (2 - -2 - (1 - -11)) - 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 40*m + 222 - 22 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4477551\/106 - -42242. Find the common denominator of -35\/6 and j.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/7, -10\/1731, 0.1, -1, 0.03, -0.1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1307 times 785932?\nAnswer: 1027213124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37 + 25 - 62 + 2*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, 1.2, 0.5, 0, -5, -500 in descending order.\nAnswer: 1.2, 0.5, 0, -2\/17, -5, -500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 + 8*p**2 - 10*p + 5. Let k be v(-9). Suppose -5*c = 4*q + 2 - 0, 5*q - k = 2*c. Calculate the smallest common multiple of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 1282411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 2 o when four letters picked without replacement from mommoom.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 4*x**2 - 1. Let j(a) = a**3 + 3*a**2 - 1. Suppose -13 = -3*u + d, d - 5*d = -2*u + 12. Calculate u*j(o) - 3*i(o).\nAnswer: 4*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l - 3 + 3)*(-1 - 1 + 0) + 0 + 0 - 2*l + 0*l + l - 9*l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 239 = -2*z - 0*z + 5*i, -24*z + 20*z + 5*i - i = 196 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 1\/3, -4, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 312 minutes after 1:58 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 - -24. Suppose -t*h = -16 - 6. Suppose -z + 162 = 2*y, h*y - 648 = -6*z + 2*z. Is 27 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1067?\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5.94 and -0.03.\nAnswer: 0.1782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 + 4. Let i = 15 + -14. Suppose o = v - i. Solve c + 2*s = 0, -v = -4*c - 6*s + s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 5 = -3*p, 2*p - 12 = r + 2*r. Let b = -25 + 20. Sort -3, b, r in descending order.\nAnswer: r, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1416908 or 1416909?\nAnswer: 1416908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -97443344\/3 > -32481115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -2*x**2. Let y(n) = 58*n - 16. Let u(i) = 119*i - 34. Let d(j) = 8*u(j) - 17*y(j). Give d(z(q)).\nAnswer: 68*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= -183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 15*g + 4. Let f(t) = 494*t + 133. Let v(i) = -4*f(i) + 133*l(i). Let k(u) = 2*u. Determine v(k(h)).\nAnswer: 38*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (10 + 50\/(-5))\/(-3). Let d = 0 - -38. Suppose -3*c + s*c + 3 = -b, -4*b = -2*c - d. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11986?\nAnswer: 2, 13, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3232 and 14544?\nAnswer: 29088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 f when two letters picked without replacement from erfpfqf.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -2*l - 2. Let q(p) = -2*p - 15. Let n be q(-6). Give t(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(2\/5)*m)**(-35)\/(m**(-3\/2)\/m**7) assuming m is positive.\nAnswer: m**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69711596.\nAnswer: 2, 409, 42611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3 - 6*n**2 - 7*n + 2. Let w be s(7). Let f = 0.29 - -0.71. What is the closest to w in 2\/11, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**3 - z**2 - 7. Let g(a) = -5*a**3 + a**2 - 8*a - 54. Let h(m) = -6*d(m) + g(m). What is h(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -0.0446, 3, 5?\nAnswer: -0.0446","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -12.37 times 0.04\nAnswer: -0.4948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 564 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(-61 + 260\/4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.5 - -0.3. Let p = i - -0.5. Let f(w) = -w**2 + 2*w + 4. Let q be f(3). Which is greater: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 7107084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d**2 + 0 + 0)*(-2*d**3 - d**3 + 5*d**3) + (-1387 + 5*d**4 + 2802 - 1399)*(-3*d + 2*d - 3*d).\nAnswer: -22*d**5 - 64*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-273)\/(-1001) - -5*(-328)\/44.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -4*g**3 - 9*g**2 + 5*g + 2. Let i(z) = 2*z**3 + 4*z**2 - 2*z - 1. Determine 9*i(w) + 4*p(w).\nAnswer: 2*w**3 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6988*d**5 - 2*d + 4970.\nAnswer: -139760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**2 + 2*p + 3. Let y be x(-2). Suppose j + y*t = 838, -j = 2*j - t - 2554. Let o = -585 + j. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the second derivative of 0 + 1\/30*k**4 - 67*k - 3\/5*k**2 + 2\/15*k**3. Factor v(q).\nAnswer: 2*(q - 1)*(q + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 256 = -52. Let w = t + -27. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 4, c: 4, y: 7}. Give prob of sequence jc.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d\/d**(2\/29)))**(-12)\/(d*d*d\/(d\/(d*d*d**(3\/2)\/d*d)))**(1\/4))**(-1\/96) assuming d is positive.\nAnswer: d**(511\/22272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1308*n**5 - 581391*n**3 - 26*n**2 - 4*n**4 + 133*n**2 - 3*n + 581391*n**3 wrt n.\nAnswer: 78480*n**2 - 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6874793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q + 13. What is x(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 - 26 + 9 - 8*r**2 + 8*r**2 - r - 25*r**3 to the form q*r**3 + f*r + o + t*r**2 and give q.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**5 + 114*h**4 - 324*h**3 + 318*h**2 - 105*h.\nAnswer: -3*h*(h - 35)*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5380 and 6440.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the third derivative of q**6\/30 - q**5\/15 - q**4\/6 + 2*q**3\/3 - 4*q**2. Determine t so that c(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 + u**2 - u - 5. Suppose 184 + 54 = -2*f + 4*m, 3*f + 4*m = -337. Let g = 115 + f. Determine c(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((4 - -4)\/2 - 2)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, -3, -4\/7, -1\/4, -8 in descending order.\nAnswer: 1\/2, -1\/4, -4\/7, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 8, q: 3}. Give prob of sequence qbqq.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 98872 and 307700?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2677\/19 + 141. Let w(f) = 5*f**2 - 3 + 3*f - 4*f**2 + 5*f. Let j be w(-8). What is the third biggest value in g, j, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.4215 * 0.75.\nAnswer: -1.066125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - 10 - -8 - -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3 - 32802*s**2 + 88838592*s + 4524309600.\nAnswer: 3*(s - 5492)**2*(s + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 1 = 2*m. Factor -2*s**2 + s**2 - s**m - s**4 + 3*s**2.\nAnswer: -2*s**2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**3 - 30*n**2 + 54*n + 109. Calculate z(-32).\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1655.123 years to centuries.\nAnswer: 16.55123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 26975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 50 - 14 + 2*p**3 - 2*p - 8*p**2 - 37 + p + 2*p**4 to the form v*p**4 + a + z*p**2 + s*p + y*p**3 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**12\/(p*p\/(p\/p**12)) assuming p is positive.\nAnswer: 1\/p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (11\/(165\/(-25)))\/(-1)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from svhvfhfx. Give prob of picking 2 h and 2 f.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -487, -470, -437, -382, -299?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:23 AM and 1:29 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 204128, 204134, 204140, 204146, 204152?\n\"Answer: 6*z + 204122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**3 + 5*m**2 + 7*m - 3. Let l be r(6). Let p = 3 - -24. Let n = 43 - p. Solve 4*q + 4*v - n = 0, 6 - l = -3*q + 2*v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2)\/39)\/((-2)\/(-6)). Let u be 2\/(-4) - 17\/(-18). Which is the second biggest value?  (a) 3  (b) u  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8366, 16749, 25132, 33515, 41898?\nAnswer: 50281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 71990555?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4.5 - 0.5. Let z(a) = -1 + a**2 + 6*a + 0 + 0. Let k be z(-6). What is the smallest value in h, k, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-28)\/(-35))\/(42\/40 + -1). Suppose 7*z + 2853 = h*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -12852*z. Let w(m) = 86*m**2 + 4*m - 4. Let c(d) = 21*d**2 + d - 1. Let v(o) = -4*c(o) + w(o). Calculate f(v(i)).\nAnswer: -25704*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -4*y**4\/9 - 19552*y**3\/9 - 23951128*y**2\/9 - 47726432*y\/3 - 23833924 = 0.\nAnswer: -2441, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -3  (b) 0  (c) -1.13  (d) -3\/7  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 44, 185, 432, 791, 1268, 1869, 2600, 3467?\nAnswer: 4476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 0*r + r + 0*r. Let k(p) = 8*p + 51. Let u(h) = -40*h - 272. Let l(j) = -16*k(j) - 3*u(j). Determine l(f(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -381*q + 1145. Let u be x(3). Which is the closest to 2?  (a) 4  (b) -78  (c) u  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 10 = 4*b. Suppose -b*v + 12 + 3 = 0. Suppose 2*k + 9 = v*k - 5*y, -3*y = 5*k - 45. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the second derivative of 7*s**4\/12 - 13*s**3\/6 - 13*s**2\/2 + 7*s - 6. Let p(w) = 1 - 3*w**2 + 4 + 6*w + 1. What is -13*p(t) - 6*u(t)?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 2*l + 0 = -6, 3 = -a - 5*l. Suppose -4*x = -a*c + 16, 0 = -3*x + 6 - 0. What is the units digit of ((-9)\/c)\/(2\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4861362ml to litres.\nAnswer: 0.0004861362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21187*v**2 - 21195*v**2 + 63573*v**2 - 21190*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -25790\/211 at most as big as -122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*y - 5*y = -15. Let f(o) = o**3 + o**2 - 6*o - 3. Let n be f(y). Let z = -0.2 - -0.3. Which is the smallest value?  (a) n  (b) z  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -3*l**2 + 3*l**2 - 3*l**2 + 4*l - 5 - l**3. Let c = 40 + -31. Suppose 9 = -2*d - r - 0*r, -d - 5*r - c = 0. What is z(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3306\/580 + (5 - 5\/(50\/52))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.26 - 8.74. Let c = -3.06 - 18.64. Let q = z - c. What is q rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 + 3)*(-6 + 4 + 1 + 2*r).\nAnswer: 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -2.12 * -0.15417\nAnswer: 0.3268404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 - 38*v**2 + 190*v + 34. Is n(-43) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20452079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/((i*i**(-1\/10)*i)\/i*i*i))\/((i*i**(-3))\/i*i))\/(i**(-2)\/i*i**(-5\/3)))\/((i**(-2\/5)*i)\/(i*i*i**(-4\/3)*i))**(6\/13) assuming i is positive.\nAnswer: i**(2051\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v\/v**(-1))\/v)**6\/(v*v**0\/v*v*v**(-1\/8)*v))\/(((v**(-1\/5)\/v*v)\/(v**(-1\/5)*v))\/((v*(v**(-1)*v*v)\/v)\/v**(2\/23))) assuming v is positive.\nAnswer: v**(2215\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -348*l**2 - 44*l**3 + 348*l**2 - 1 - l**3 + 1 + (-2*l**2 + 4*l - 4*l)*(4*l - 3*l + l) - l + l - 2*l**3.\nAnswer: -51*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -2\/1073?\nAnswer: -2\/1073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 14 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 336.8 * -1.8\nAnswer: -606.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17934034 is divided by 1836.\nAnswer: 1822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/5831467 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 586273 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 14 = -2*v, 15*v + 6 = 17*v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 14456912 and 84702.585?\nAnswer: 14372209.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 6 + 3)*(-5*a + 5*a - 2*a + (4*a + 0*a - 3*a)*(-3 + 1 + 4) + (-6 + 18 - 3)*(47*a - a + a)) to s + q*a and give q.\nAnswer: -1692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 PM and 3:48 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 40*m**2\/3 + 477*m - 2392\/3.\nAnswer: (5*m - 8)*(8*m + 299)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -408.701 to the nearest integer.\nAnswer: -409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3*(5 - 2 - 2). Suppose 6*k - h*q = 2*k + 45, -2*k = 2*q - 12. What is the units digit of (2 - 0)*k\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (320\/(-28))\/((-2)\/14). Let u = 127 - -13. What is the greatest common factor of i and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -u + 3*n, 439*u = 450*u - 4*n + 79 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16303 - 16290. Which is the biggest value?  (a) 112\/9  (b) h  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6662413232 to the nearest integer?\nAnswer: 81624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -0.13, -6195, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-6)*(g**(-4\/3)\/g*g)\/g)**(-2\/9)*(g**0)**(1\/19)*(g**(-2\/3))**(7\/2) assuming g is positive.\nAnswer: g**(-13\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 3*b - 2. Let m(u) = u - 1. Let k(g) = a(g) - 2*m(g). Suppose 3*x = 1 + 5. Let o(s) = -3*s + s**x + 4*s - s. Determine o(k(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -2*p**3 - 6*p**2 - 5*p - 2. Let v be h(-4). Suppose -10 = 5*y + 4*g - v, 3*y = -3*g + 27. Suppose -8*u = -y*u - 28. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/91571750 and 103\/650.\nAnswer: 1190432750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -4*h + 4*h**2 - 3*h**2 + 3*h + 5. Let p be i(0). Suppose 4*o - 3*o = p. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = -7, 5*y - 58 = -7*h + 12 - 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*j = 30 - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 94 + -46. Let y = -45 + d. Solve -1 = 4*u + y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -850 + 641. What is c rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1370?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -4*r**2. Let o(p) be the third derivative of -p**5\/6 - 22*p**2. What is c(o(h))?\nAnswer: -400*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 8) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 9\/(51\/34*(1 - -1)). What is the first derivative of 2*v + 122207 - 122455 - 2*v + 112*v**s wrt v?\nAnswer: 336*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 654769?\nAnswer: 563, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 30 - 1. Let p = -28.98 + n. Which is the closest to p?  (a) 0.01  (b) 0.4  (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2674 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19 - 27. Let i(q) = -q**3 - 7*q**2 + 8*q. Let w be i(t). Solve w = 4*z - 2*z - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(25)\/(sqrt(55)\/(sqrt(11) - (sqrt(44)\/sqrt(4) + sqrt(11)))) - (-2 + (sqrt(5) - sqrt(40)\/sqrt(8)) - (sqrt(5) + (-4*sqrt(5) + -3 - sqrt(5)))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 311*v + 342*v + 753*v to b*v + u and give b.\nAnswer: 1406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 80*g - 640. Calculate l(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 299.8 + -156.8. What is the nearest to -2 in 1\/4, -1\/3, j?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/2960 and -75\/7472?\nAnswer: 1382320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r - 4*r + 4*r)*(22*r + 15*r - 27*r)*(2 - 1 - 3 + (1 + 5 - 1)*(3 - 1 - 1))*(-7 + 3 + 2).\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1.12823584 and 2015595.\nAnswer: 2015593.87176416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**23\/x**(-19))**(1\/61) assuming x is positive.\nAnswer: x**(42\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of -n**4\/4 + 5*n**3\/3 + 4*n**2 + 2*n - 27. Determine a(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -218 + 236.8. Let j = 26.77 - a. Let s = j - -0.03. Which is smaller: s or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (102\/34)\/(3\/(-29)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n. Let y(d) = -2*d + 1. Let z be 12\/(-36) - (-94)\/(-6). Let j = -15 - z. Suppose p - j = -2. Give p*y(i) + l(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2913 - 2647. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14225*z**3 - 1077576*z**2 wrt z.\nAnswer: -85350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**3\/4 + 41*f**2\/2 + 161*f\/4 + 20.\nAnswer: (f + 1)**2*(f + 80)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*r - 4*r - 36. Let z = 5 + r. Solve 0 = 3*s - z - 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + (13 - 14) + -13 - -14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 57356150 by 2.\nAnswer: 28678075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x. Let f(v) be the first derivative of 19*v**4\/12 + v**2 - 13*v + 3. Let w(t) be the first derivative of f(t). Give w(m(a)).\nAnswer: 19*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*z - 181497 + 14331. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -2 + (sqrt(243) + -3 - (sqrt(3) + sqrt(192) + -2)) + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 272109 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/7344 and 71\/202096?\nAnswer: 5456592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjajaajjafafffjlvfj. What is prob of sequence vl?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15478 - 12904. Which is greater: 2573 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23224460 (base 7) in base 8?\nAnswer: -7620373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -149\/6521472 and 53\/14688?\nAnswer: 6521472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 165.4 - 165.41. What is the closest to 1 in -4, 62, t, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 220 = -2*t - 0*u, 3*t + u = 313. Let x = t + -25. What is the greatest common factor of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.01509  (b) -3  (c) -4\/3  (d) 2.1  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r, 3*r = q - 7 - 9. What is the lowest common multiple of 14 - (28 + -36 + 2) and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -4*k + 192, -p - 3*p - 2*k = -192. What is the lowest common multiple of p and 3?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 1 = -16. Let b be 24*24\/27*d. Let m = b + -45. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -470 + 1286 = 6*t. Is 24 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.19 and -38.3.\nAnswer: -7.277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -22*d*n*x + 2*d*n - 55*d + 3*n*x - 2*x wrt n?\nAnswer: -22*d*x + 2*d + 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 != 1115\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2001322201 (base 4) to base 16\nAnswer: 81ea1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00068 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*z + 19*z + 71*z = -137*z + 13572 for z.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2.6, -0.4, 2\/9, 1\/2, -6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, -625.\nAnswer: -625, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 113 or 112?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -238*l + 3157 = 49*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (16\/10)\/((-34)\/(-765)). Calculate the highest common factor of s and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4351\/2214 - -5\/2214. Calculate the common denominator of c and 9772\/(-2002) + 5\/(-15)*18\/(-39).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 245\/98 + 19\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 115 - 114.6. Let l = -82 - -76. Let f be 68\/22 - l\/12*-6. Which is the nearest to -1?  (a) x  (b) f  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -40\/2051 - -88709\/447118. What is the common denominator of -6 - (-3 - (-1904)\/(-352)) and l?\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 3*i = 18, -6*g = -g - 2*i + 30. Let j = 3 - g. What is the remainder when 25 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(3*4\/48). What is the units digit of (-24)\/4*g\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 - 6*v**2 - 2*v - 35. Let j be d(7). Suppose -19*c + 10 + 28 = j. Sort c, -3, -23 in decreasing order.\nAnswer: c, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iei when three letters picked without replacement from eeeeeiii.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(140) + (sqrt(140) - (2*sqrt(140)*1 - sqrt(140))) + sqrt(140))\/(1*sqrt(20) - sqrt(5)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -2*o - 1. Let q be g(-2). Suppose -5*v + 3 = -s + 6, -s + 3*v + q = 0. Suppose -s*f - 16 = -5*f. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 100, -9, 1, 58 in descending order.\nAnswer: 100, 58, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = 4*b + 2*f, 2*b - 5*f + 4*f = 15. Factor -3*x**5 - 64 + 9*x**5 - 4*x**4 - b*x**5 - 32*x + 16*x**3 + 32*x**2.\nAnswer: -2*(x - 2)**2*(x + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 468*m**3 + 2*m**2 + 9*m + 12?\nAnswer: 2808*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.38723 rounded to 1 decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 544\/72 - (84\/(-27))\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w + m - 43, -5*w = -6*m + 4*m - 68. Suppose -w*y + 1560 = -2*y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 5:43 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -155 - -158. Put q, -4, -2\/9 in ascending order.\nAnswer: -4, -2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2448) + 4)**2 - ((sqrt(17) + ((sqrt(17) - sqrt(17)*-5) + 2 - sqrt(17)))**2 - sqrt(17))) + (-3*sqrt(17)*2 + -4)*1.\nAnswer: 67*sqrt(17) + 1844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/13128 and 10\/35 - (-4526)\/(-1302).\nAnswer: 91896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 2*a = 39. Let m = -37 - a. Suppose 0 = -f + 1, -2*f - m*f = o - 42. Calculate the remainder when o is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1110323 (base 4) to base 13\nAnswer: -2621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 3 v when four letters picked without replacement from vvululkleulvvvu.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wo when two letters picked without replacement from {v: 1, o: 1, n: 3, z: 6, k: 1, w: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 29*o = 34*o + 661, -5*m + 2*o + 839 = 0. Calculate the highest common factor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3836 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**2 + 3*w + 2. Let u be p(3). Suppose u*o + 3*o = 385. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 7, 44, 107, 196, 311, 452, 619?\n\"Answer: 13*p**2 - 2*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**3 - 80*o**2 - 47*o + 2466. Calculate r(-79).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 18 + (-2 - -17) + -44\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.19 and 26.2785?\nAnswer: -4.992915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 AM and 3:35 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0\/1)\/(-4)*(-4)\/8. Suppose 4*f + 5*x - 593 = 0, s = 2*f + 2*f + 3*x - 583. What is the units digit of f*(1\/(-2))\/((-3)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 - 15*g**2 + 22*g - 28. Is a(-17) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 55938418 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**3 + 9*k**2 + 8*k + 12. Let p be w(-8). Suppose -3*n = -2*n - p. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**3 - 7*f**2 + 33*f - 332. Give l(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.08821 times 1?\nAnswer: 1.08821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.226 * -818.\nAnswer: -184.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 PM and 7:47 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p + 2. Let z be w(-7). Put -3, z, 2 in descending order.\nAnswer: 2, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - (-5 - 5 - -13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*d*o**2*p**3 - 115*d*p**3 - 3*d - 2*o**2*p**2 - 68*o*p**2 wrt p.\nAnswer: 12*d*o**2 - 690*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 38*n**2\/17 + 262*n\/17 - 28\/17 = 0. What is n?\nAnswer: -7, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4\/1881 + 1889\/3762. Let i(t) be the third derivative of -m*t**4 - 1\/20*t**5 - 4*t**2 - 1\/480*t**6 - 8\/3*t**3 + 0*t + 0. Factor i(f).\nAnswer: -(f + 4)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*o**3 - 3 - 4 + 5 - 4*o**3 to the form h*o**3 + b*o**2 + j + x*o and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 AM and 4:39 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + 1 = a, 4*k - 294*a + 13 = -295*a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12747 - 12751. Let r = -10\/117 - 17\/117. What is the second biggest value in u, r, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64328254?\nAnswer: 2, 32164127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33258?\nAnswer: 2, 3, 23, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-134)\/(-536) + 10\/(-144)*10.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 4*k, 3*k + 2*c = 3*c. Suppose -299 = -5*x - 2*b, k = 2*x - 5*x + 3*b + 171. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7716241 (base 9) in base 10?\nAnswer: -4144564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**3 - 7*p**2 + 7*p. Suppose -4*v - 4*j = v - 45, -5*v + 35 = 2*j. Let a be g(v). Let t = a + 29. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 67 + -68. Let o(c) = -2*c**2 + 9*c - 8 - 4*c**4 + 8*c**3 - 17*c + 2. Let y(d) = d**4 - d**3 + d + 1. Let b(m) = i*o(m) - 6*y(m). Factor b(t).\nAnswer: -2*t*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -20 - -23202?\nAnswer: 23142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 296.47  (b) -1\/4  (c) 0.4  (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 3:52 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the third derivative of -1\/60*t**5 + 0*t + 1\/12*t**4 + 1\/6*t**3 + 0 + 78*t**2. Let q(z) = -z**2 + z + 1. What is k(i) - 2*q(i)?\nAnswer: i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 162 a factor of (-22696)\/(-28) + 155\/35 + -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 - (159 - (-4 + 6 + -1)). Is g less than -161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffvf when four letters picked without replacement from {v: 1, p: 1, f: 7}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 364189 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1184900 rounded to the nearest 10000?\nAnswer: -1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(3 + ((sqrt(224)\/sqrt(4))\/sqrt(8) - (-1 + (sqrt(7) - sqrt(28)\/sqrt(4))) - (-4 + (sqrt(7) - (sqrt(63)\/sqrt(3))\/sqrt(3))))).\nAnswer: 3*sqrt(7) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -584638*m**3 + 12173*m**2 + 7 wrt m?\nAnswer: -3507828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7 and 5.246.\nAnswer: -36.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -868 + 1258. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.09 and -0.10439076.\nAnswer: -0.19439076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 35*w + 2. Let y = -3 - 0. Let x be u(y). Let f be 20*(3 + x)*620. What is f rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12*r**4 + 15*r - 15*r + (r**2 + r**2 - r**2)*(-9*r**2 + 281*r**2 + 11*r**2).\nAnswer: 295*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 251 = 3*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -245140 less than -245003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1722\/28*(-1906)\/(-3). Suppose 6*g = s - 2347. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*w + 17 = -31 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*f - 10 - 18 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11660711003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 32364763, 32364765, 32364767, 32364769, 32364771, 32364773?\n\"Answer: 2*d + 32364761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -2*c**2 + 2*c. Let k(m) = -5*m**2 + 3*m - 1. Let u(a) = 7*b(a) - 3*k(a). Calculate u(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22851773 to the power of 1\/2, to the nearest integer?\nAnswer: 4780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 135 and 2100?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 184880916.\nAnswer: 2, 3, 11, 17, 29, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -510 - -515. Which is the fourth smallest value?  (a) 4  (b) -1  (c) 20  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7889 divided by 343\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 944 is divided by 162.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/892224 and 19\/1152.\nAnswer: 1784448","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from {h: 6, a: 1, n: 4}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 + 5*f**2 - f + 7. Let k be q(5). Let m = -2 + k. Suppose -3*d + 2 + 16 = m. Solve -p = 5*t + 12, 0 = 3*p + d - 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 7:00 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrrrrrrrr. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*s + 4 - 4 - 8*s)*(20*s**3 - 3*s**3 + 7*s**3 + (0*s + 0*s - s)*(2*s**2 - 1 + 1) + s**2 + 2*s**3 - s**2).\nAnswer: 312*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 + 7*l + 4. Calculate the lowest common multiple of 64 and f(-11).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1310779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 63, 0.5, -8057, 2\/5.\nAnswer: -8057, 2\/5, 0.5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -441857 (base 12) to base 4.\nAnswer: -10013332003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1150788 and 17548.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 12 = -12*u. Let k be 7 + (1 - 4) + (0 - u). Solve -4*j - 20 = 0, o = -2*j - 2 - k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 2*m**2 + 103*m - 480. Calculate i(5).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*s + 7*s - 2*y + 58 = 0, -y - 31 = -s. Suppose s*x - 265401 = -92211. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**5 + 428*t**4 + 432*t**3.\nAnswer: -4*t**3*(t - 108)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1936644 is divided by 4525?\nAnswer: 4469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25296320 is divided by 377.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 535890*w**5 - 206678*w**2 wrt w?\nAnswer: 32153400*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -2*t + 1. Let l be f(-2). Suppose l*k - 328 - 162 = 0. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - -2005?\nAnswer: 2009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + 2 + (sqrt(98) + -5*(2*sqrt(98) + sqrt(98)) - (sqrt(98) - (sqrt(98) + -1 + sqrt(98) + 4))))*-5)**2.\nAnswer: -22750*sqrt(2) + 414675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.007?  (a) 0.4  (b) -0.1  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/45717 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -23, -6, 8, -3, 1 in increasing order.\nAnswer: -23, -6, -3, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-63)\/(-476) - (-6)\/51. Which is the nearest to 1?  (a) -2\/9  (b) m  (c) 162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and -5913.4179.\nAnswer: -5913.4179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8 and 275864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 39405826 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2 + 8*v + 6. Let d be r(9). Let i = d - -5. Suppose 2*c + i*c = 0. Put 3, c, 4 in decreasing order.\nAnswer: 4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = -4*s - s. Suppose a = -a + s. Suppose -215 = a*l - 11*l. What are the prime factors of l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 449\/1997  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 187892064845 + -33.\nAnswer: 187892064812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 346685340 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 less than 0.078552?\nAnswer: -0.021448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(-15)*(-2)\/(18\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 23771 and 77.\nAnswer: 166397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 615713 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 1735*o + 6.\nAnswer: -1735*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.98 - -0.02. Let h = z - 1.2. Let s = -5.1 - -5. Is h greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2603380 divided by -95?\nAnswer: -27404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*p**2 + 3*p**2 + 3*p**2)*(2*p - 2 + 2) - 6*p + 6*p + 4*p**3 + p**3 + 2*p**3 - 4*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are 2682986 and 2682992 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 2*r + 25. Suppose 0*v + 12 = 4*v. Suppose 7*l = v*l + 8. Put l, r, 1 in decreasing order.\nAnswer: l, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 5*n**3 + 3*n - 2. Is y(2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes after 1:07 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 437415 and 12533205?\nAnswer: 3615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 - 3. Suppose a + 16 = -f*a. Let c = 38 + -42. Does c = a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21263.7l?\nAnswer: 21263700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.75 + 2.25. What is the nearest to 0 in -0.2, d, 3\/7, -5.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 215619 divided by -37?\nAnswer: -215619\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-35 - 20 - 12)*(3 + t - 3)*(0 + 0 + 2*t) + 0*t**2 - 3*t**2 + 4*t**2.\nAnswer: -133*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 21*n + 10 - 14 - 11*n.\nAnswer: -32*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = d - 4*d - 5*p, p + 1 = 0. Let y be (-395)\/(-35) - (-2)\/(-7). What is the remainder when d is divided by 1\/(-2) - y\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1023492397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2476 - 155. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4075 = 15*f - 139*f + 2621. Calculate the remainder when 8313 is divided by f.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1379*k = -1415*k + 216 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 84342031.997877 + -84340960. Let l = d + -1072. Round l to 4 decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -38, -88, -158, -254, -382, -548, -758, -1018?\n\"Answer: -a**3 - 4*a**2 - 31*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-6)\/(-8))\/(1\/(-4)). Let f be -6 + (1 - (-4 - 0)). Is 10 a factor of (r\/1)\/(f\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2675210 is divided by 535040?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a week in minutes?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(168\/9) - (-1)\/((-576)\/(-1112)).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2687, -5, 1\/5, 0.1, 2\/3 in decreasing order.\nAnswer: 2\/3, 1\/5, 0.1, -5, -2687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -52\/23 and -68\/3.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -509*w**3 - 43*w + 88*w - 45*w.\nAnswer: -509*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * -278846.91\nAnswer: -55769.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the third derivative of -t**5\/30 + 15*t**2. Let l(a) be the second derivative of 0*a**2 - a + 0 + 5\/6*a**4 + 0*a**3. Determine l(o(b)).\nAnswer: 40*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1975642?\nAnswer: 2, 987821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8998 - 1343. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11\/((-132)\/(-40)))\/((-6)\/(-9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 349930269 a multiple of 723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 4*p**3 + 27*p**2 - p + 56. Let i(j) = -j**3 - 9*j**2 + 1. Calculate -d(q) - 3*i(q).\nAnswer: -q**3 + q - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 486523 and 2260901.\nAnswer: 38435317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the second derivative of 0*b**3 + 0 + 0*b**2 + 5*b - 1\/54*b**4 + 1\/90*b**5. Factor n(z).\nAnswer: 2*z**2*(z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19214757?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 1 = 15. Suppose j - i = -2*c + 5*c, 0 = c. Suppose k = j*k - 36. Let s(o) = -o + 2. Let u(x) = 3*x - 7. Determine k*u(b) + 21*s(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -64*d**3 + 137*d**2 - 11*d - 11. Let i(a) = -17*a**3 + 34*a**2 - 3*a - 3. Calculate 11*i(s) - 3*o(s).\nAnswer: 5*s**3 - 37*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + -1)*((-34)\/68 + 69\/6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4527689121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*w**3 + 24*w**2 - 10*w**2 - 22*w**2 to the form f*w + r + y*w**2 + q*w**3 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 36\/15 + 4 + (-44)\/10. Suppose -2*t - 10 = -3*a - 2*a, 2*t = 0. Suppose 0 = -a*j - 7 + 43. What is the highest common factor of j and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1206116 at least as big as 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d**4\/4 - 1138587*d**3 + 432047077083*d**2 + 60503329049520*d + 2117811802411200 = 0 for d.\nAnswer: -70, 759128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 18*b**3\/11 + 6320*b**2\/11 + 545514*b\/11 - 1629108\/11.\nAnswer: 2*(b + 177)**2*(9*b - 26)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 4 = 3*q. Let l(w) be the first derivative of -w + 1\/2*w**2 - 1\/3*w**3 - 1. What is l(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**3 + 5*k**2 + 6*k + 13. Let p be g(6). Find the first derivative of 11*z + 0*z + p*z - 52 wrt z.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 246 and 328?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from {p: 3, j: 1, b: 1, c: 2, y: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-4)*152\/57 - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4722 = -19*h + 5*v + 4785, -3*h - 5*v = 19 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19900351, -39800700, -59701049, -79601398?\nAnswer: -99501747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 + 24*h + 25. Let g be m(25). Suppose -9 + 3 = -2*z. Let t = z - 1. Solve o = -g*o + t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -120*v = -41 - 79 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -62 - -83. Let w be 111\/y + 18\/(-63). Is w greater than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*t - 3*t + 5*t)*(-1 + 1 - 1)*(4 + 1 - 3) in the form n*t + x and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 + (-38)\/57 + 17825\/(-825)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2\/5 + 8636*l\/5 - 18645124\/5.\nAnswer: -(l - 4318)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -4*(1*sqrt(2448) - sqrt(2448)) + -1)**2 + sqrt(85)\/(1*sqrt(5)*2) + (sqrt(1700)*-2 + sqrt(1700) - sqrt(1700)) + 2.\nAnswer: -39*sqrt(17)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 103\/14 or 7?\nAnswer: 103\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01267722171 to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -137622 (base 8) in base 14?\nAnswer: -13c30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 18\/14*(-616)\/(-660). Let c(s) be the first derivative of 0*s - 14\/3*s**3 - h*s**5 + 2 + 0*s**4 + 0*s**2. What is the third derivative of c(r) wrt r?\nAnswer: -144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 470034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -22*b**2 + 13*b - 2. Let z(o) = o**2 - 2*o. Give -q(t) - z(t).\nAnswer: 21*t**2 - 11*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**3 + 4*z**2 - 4*z - 2. Let b(q) = -q**3 + 9*q**2 - 9*q + 3. Let n be b(8). Calculate i(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (117\/65)\/(63\/14) + 108\/5\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1360\/520*117*11\/99\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0\/(-2) + 21*5. Suppose 5*d = -5*y + w, -d + 0*d - 33 = -2*y. Calculate the smallest common multiple of y and (-124)\/(-8) - (5 + (-77)\/14).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 411963050 to the power of 1\/4, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = l - 8, m - 5*l = -4*m. Let i be -2*(-2)\/m + -1. Solve u + 3*b = -i*b, -b = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23 (base 14) to base 8.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes before 9:47 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*p**2 - 4*p**2 - p**2 + 5*p**2 = 0. Calculate p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -127, -260, -393, -526?\nAnswer: -659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((8\/(-16))\/1)\/((-2)\/(-4)). Which is the nearest to 0.033?  (a) k  (b) 4\/5  (c) -3  (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/6616400 and -71\/2780.\nAnswer: 6616400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/68)\/(4\/48). Let x = -121\/102 - f. Let j = 2 + -5. Which is the closest to 2?  (a) j  (b) x  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/(-5)*2200\/33. Are 241\/3 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -12, -0.4, 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 17909 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 783 a factor of 2408594913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -24*a - 115. Determine o(12).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 52964.35 to the nearest 10.\nAnswer: 52960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -84 - -114. Let q = 27 - p. Sort q, 2, 1 in increasing order.\nAnswer: q, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -102 - -110. Solve z*h = 4*h + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -37329226 divided by 49247\nAnswer: -758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/(-6) + (-15)\/(-6). Suppose j + 26 = d + 81, -15 = 3*d. Suppose 60 = v + 5*z, -4*v + 4*z + j = -o*v. What is the remainder when v is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 4*p, 5*p = -9 + 34. Let n be 6\/15 + 86\/10. Solve 5*t = m, -2*t = 2*l - 3*t + n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -8, 2, 1, 154, -2 in decreasing order.\nAnswer: 154, 2, 1, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5\/12 + 1\/4. Let k be (-34)\/8*(-44)\/374. What is the third biggest value in k, v, 3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 10 = 4*n, -3*n + n + 4*y = -16. Suppose -7 = n*v + 1. Let u = v - -1. Sort u, 2, 4 in descending order.\nAnswer: 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 46*b**2 + 6. Let a(t) = -47*t**2 - 5. Determine -6*a(d) - 5*q(d).\nAnswer: 52*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10790023\/204 - -52892. Find the common denominator of 149\/12 and w.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -507676719*g**2 - 693073186*g wrt g?\nAnswer: -1015353438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 351*f**3 - 1641*f**3 + 864*f**3 + 334*f**3 - f**2.\nAnswer: -92*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 28*d = 1101 - 1004, -2*u + 2 = -2*d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1030.2 - -1030.1. What is the nearest to z in 5, -32, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 22\/5 and -127\/44380.\nAnswer: 44380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 107549543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 - -25. Suppose 4*r = -0*r + 5*h + 2, 5*r - p = -4*h. Solve q - 16 = -r*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 + 1.191.\nAnswer: 0.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 737915 to the power of 1\/2, to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**3 + 23*a**2 - 78*a - 1. Determine j(-26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 4*p**4 - 3424*p**3 + 785472*p**2 - 22571008*p + 173817856 = 0?\nAnswer: 16, 412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) - 6*sqrt(1088)) + (sqrt(136)\/(sqrt(8)*1) - sqrt(17)) - -5*(4 + sqrt(612)*-2 + sqrt(612))**2.\nAnswer: -287*sqrt(17) + 3140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((((-6)\/2)\/3)\/((-50)\/100)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -3609.9 to the nearest ten.\nAnswer: -3610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m - 6. Let v be n(-2). Let j(u) = -3*u**3 - 2*u**2 + 7*u + 2. What is the units digit of j(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/8)\/d*d\/(d\/(d\/(((d\/((d*d**(1\/2)\/d)\/d))\/d)\/d)*d)))**32*(d**(-2\/5)*d)**(-2\/83)\/(d\/(d**(1\/2)*d))**(4\/9) assuming d is positive.\nAnswer: d**(194996\/3735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the third derivative of -f**5\/5 - 37*f**4\/6 - 8*f**3 + 1049*f**2. What is g in l(g) = 0?\nAnswer: -12, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 288607475?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1224, 2449, 3678, 4911?\n\"Answer: 2*x**2 + 1219*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -5*r + 17 + 2, 3*r = x + 11. Let o be (70\/(-28))\/((-2)\/r). Suppose z = -o*l + 25, 2*z - 7*z = 3*l - 15. Solve z + 1 = t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.74 + 3.56. Let z = 4 - h. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 + -243 + 79 + 202?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*p**2 - 609*p + 918 = 0. Calculate p.\nAnswer: -17, 18\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k**2 - 7*k - 118. Let m be n(-4). Is m equal to -111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -k + 3*k + 21, -3*n = -k + 17. Suppose -x + 3*r + 17 = -k*r, 0 = 3*x + 5*r + 9. Suppose -x*c = -3*a + 41, -a = -3*c - c - 17. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -90*m. Let z(y) = 1880*y**2. What is b(z(g))?\nAnswer: -169200*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.16, 4, 2\/9, 3\/88 in decreasing order.\nAnswer: 4, 2\/9, 0.16, 3\/88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*o**4 + 2084692*o**3 + 10423336*o**2 - 12508032*o = 0. What is o?\nAnswer: -521168, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**2. Let z(u) be the first derivative of u**3\/6 + 2*u**2 + 30*u - 50. Let d(b) be the first derivative of z(b). Give d(p(r)).\nAnswer: -r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + -1. Suppose -132 = -3*q - q. Let k = 54 - q. Solve i = -5*b + k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -270.0000086 + 270. What is n rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 6 = -3*j. Suppose -q + 6*q = -4*d + 68, 2*q = j*d - 34. Calculate the remainder when 717\/11 - 10\/55 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.1 + -0.46. Let i = d - 0.748. Round i to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*t**3 + 2543*t**2 - 2543*t**2 + 179.\nAnswer: -14*t**3 + 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 293690565845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*g*o + 81*g*w**2 - 4782*g + 55*o*w**4 + o*w**2 - 5*o + 49 with respect to w.\nAnswer: 162*g*w + 220*o*w**3 + 2*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 10*s - 3*s + s - 15 - 5*s. Let b be i(9). Let w be (32\/b)\/(-4) + (-2)\/(-6). What is the third smallest value in w, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(2 + (-4*4*sqrt(1377) + -6*(sqrt(1377) - (2*sqrt(1377) + sqrt(1377))) + sqrt(1377))**2).\nAnswer: 24790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 9 = 3*h, -2*r + 2 = -3*h - 1. Let a = -2 - r. Let u(k) = -5*k**3 + 7*k**2 + 3. Let q(b) = 3*b**3 - 4*b**2 - 2. Determine a*u(c) + 7*q(c).\nAnswer: c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 941230116 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaraaararraaba. What is prob of sequence ar?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1518 is divided by 26.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -246740, 6, -0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes after 7:16 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11494*h + 11492*h - 10 - 9 + 19.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*y**2 - y**2 - 4*y**2)*((3 + 3 - 5)*(-5 + 4 - 1) + 2 - 2 - 2 + 3 - 4 + 2) + 18*y**2 - 10*y**2 - 11*y**2 - 8*y in the form k*y**2 + o*y + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttmmmttmmmmmt. Give prob of sequence tt.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b*b**(-14\/3)\/b*b)\/((b*b**14)\/b))**(1\/5)\/((b*b**(2\/23))\/b**1)**(-6\/7) assuming b is positive.\nAnswer: b**(-1574\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 168, 177, 186, 195?\n\"Answer: 9*r + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.013 + 0.099. Let t = l + -0.032. Let x = 2.054 - t. Which is smaller: x or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 44 - 44 + 65*n**3 + (0 - n - n + 1)*(-3*n + n**2 + 3*n).\nAnswer: 63*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7403371?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**2 + 0 + 0 + (-2*x + 5 - 5)*(1 - 1 - x))*(-x + 4*x + x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 2*l**2 - 9*l - 6. Let m be r(8). Let z = m + -51. Let d(p) = -207*p**3 + 3*p**2 + 3*p + 2. Is 13 a factor of d(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -16344, -32782, -49222, -65664, -82108, -98554, -115002?\n\"Answer: -c**2 - 16435*c + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 18571 + 0?\nAnswer: 18571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ygyygygyyyygyy. What is prob of picking 4 g?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 487261?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, e: 6, l: 6, y: 1, t: 1, c: 3}. Give prob of sequence teye.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -0*k + 210. Let n be k\/(-10) + 1\/(-5). Let w = 4 - n. What is the closest to 1\/5 in 4, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-124 + 124 - 9*j)*(j**4 + 4 - 4) - j**5 - 2*j**4 + 2*j**4.\nAnswer: -10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 277 + w - 25*w**2 - 277 as j*w**2 + v*w + p and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84*n + 2*m - 9 = -79*n, 0 = -n - m + 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 72*j**3 + j**2 + 9*j + 8. Suppose -6*v - 11 = -5. Let k be d(v). Is 3 a factor of (-2720)\/k - 4\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - -13) + -5 - 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -3, -2, 0, -4 in descending order.\nAnswer: 8, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**3 - 2*j - 2. Let z be c(2). Suppose -5*p = 0, -z*q + 3*p = 2*q - 20. What is the remainder when 12 is divided by 2\/((20\/8)\/q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**2 + b - 1. Let o(c) = 4*c**3 - 6*c**2 + 3*c - 3. Let w(x) = -6*h(x) + 2*o(x). Factor w(y).\nAnswer: 2*y**2*(4*y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3*1 + 2\/2. Suppose -87 = -3*j - 3*z, -a*j = 2*z + 1 - 127. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a + 1. Let d be p(0). Suppose 5*n - x = -0*n + 98, 0 = 5*x - 10. Let q = -21 + n. Is d at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 28\/(-12) - (-2)\/6. Let q be 24 - 4\/(-6 - o). Solve -q = -k + 4*v, 5*k + 0*v = 2*v + 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 18*w**2 + 8*w. Let p be 3 - 298\/7 - 3\/7. Let d = p + 48. Let t(s) = -6*s**2 - 3*s. Determine d*t(x) + 3*n(x).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/8*(-1)\/(-2)*8\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -5, 51\/16, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -261730*h - 41 = g - 261733*h, 0 = 2*g - 88*h + 1148 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7222 - 6*t - 1610 + 0*t + 9*t - 4*t.\nAnswer: -t - 8832","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 30*w - 2. Let y(l) = -31*l - 10. Let d(v) = -o(v) - y(v). Let k(h) = 4*h + 3. Let u(p) = 9*p + 7. Let b(a) = -7*k(a) + 3*u(a). Determine d(b(j)).\nAnswer: -j + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14967 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o - 35 + 137. Calculate the remainder when o is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**3 + 15*r**2 - 17*r - 9. Let s be f(-16). Suppose 0 = -s*h + 2*h + 8105. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23949.\nAnswer: 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 11263 < 22416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 + 93\/2)*4. Let d = -71 + a. Let f = d + -78. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 149 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 939*t**2 - 5*t - 2. Let a be p(-4). Let r = -5125 + a. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3375.5242 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -75*d**2 - 15*d**2 + 15*d**2 + 18*d**2 - 128*d**2 + 1 to x*d**2 + y + b*d and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:55 PM and 3:36 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the third derivative of -c**5\/360 - c**4\/24 - c**3\/4 + 4*c**2. Factor q(y).\nAnswer: -(y + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/(-4 - (-3 - 0)). Suppose 0 = -3*q + 2*q + c. Find the first derivative of 7*u**q + 403*u**2 - 11 - 403*u**2 wrt u.\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/(-1944)*(-4 - (-293)\/(-4)) and 29\/64.\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/((-9)\/12) - 1. Suppose n*t - 2*t + 17 = r, -t = -3. Suppose m + 3*m = -3*y + 11, 5*y + 3*m = 22. Solve 5 = y*v + r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(-28)*(-140)\/120?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, -12, -1, -177 in increasing order.\nAnswer: -177, -12, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 160.7 - 160.70001379. What is r rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bnnssns. Give prob of picking 1 b and 2 n.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 - 1 + 6)*(0 - 2*x + 0) - x + 3*x - 4*x)*(-2*x + 0*x + 3*x)*(6 - 7 + 9).\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**2 - 42*t + 929. Let o be l(-58). Which is the nearest to 0?  (a) 250  (b) o  (c) 4  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.01 - -0.41. Let g be 0\/2 - (-1 + 2). What is the second smallest value in -1\/5, g, b?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1683433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**2 + 4*u + 4. Let f(c) be the second derivative of 3\/2*c**3 - 2*c + 1\/6*c**4 + 0 + 9\/2*c**2. Calculate 4*f(w) - 9*l(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -713 (base 11) to base 9.\nAnswer: -1156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -798*b + 6388. Determine g(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 2904 = -8*r + 13*r, -2908 = 5*r - 4*q. Let f = -573 - r. Solve 5 = -f*n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 178 + -176. Suppose b*i + 858 = 8*i. Calculate the remainder when i is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -31 - -40. Suppose -10 = 4*n - b*n. Let d(l) = -1 - n + l - 3 - 1. Give d(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -9683962010 to the nearest one hundred thousand.\nAnswer: -9684000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**2. Let h(s) = s + 7. Let a = -11 - -6. Let g be h(a). Let c(r) = 3 - g - 1 - 3*r. Give c(v(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**3 + 6*q**2 - 3*q - 7. Let o = 14 + -20. What is s(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -11955, -23910, -35865, -47820, -59775, -71730?\n\"Answer: -11955*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j. Let r(a) = 1261*a. Give r(z(t)).\nAnswer: 1261*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 6, k: 3, g: 4}. Give prob of picking 2 i.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together 729971109.2 and 4.\nAnswer: 729971113.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -394662 divided by -1.\nAnswer: 394662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 326 + -90. Suppose 262 - b = l. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjnsn. Give prob of sequence jjns.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of 0*w**2 + 0*w**5 + 2*w + 1\/15*w**6 + 0*w**3 + 1\/6*w**4 + 0. What is the third derivative of o(l) wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4975 - -3375. Round w to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -54*d**2 + 10*d + 39. Let b(r) = -18*r**2 + 3*r + 12. Let h(s) = -13*b(s) + 4*i(s). Let g(k) = k**2. Give 5*g(c) - h(c).\nAnswer: -13*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 147805428 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-1\/6))**(2\/23)\/(x\/((x\/(x*x**(-3)\/x*x*x))\/x))**(-6\/19) assuming x is positive.\nAnswer: x**(7\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.7 - -0.7. Let m = -13 + 9. Let b be m\/22 - (-4)\/(-220). What is the nearest to b in -1\/2, k, 1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2425201036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-274*g - 1945 + 1945)*(0*g**3 + 0*g**3 + 3*g**3) - g**4 - g + g in the form w*g + y*g**4 + z + h*g**3 + c*g**2 and give y.\nAnswer: -823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the third derivative of x**4\/24 - x**3\/6 + 43*x**2. Let p(t) = -20*t + 50. Let z(q) = -50*j(q) - p(q). Let f(m) = -2*m**2. Calculate f(z(a)).\nAnswer: -1800*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-1)\/3*8*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5.5962 - 5.6. Round b to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -163\/80040492 and 29\/7622904.\nAnswer: 160080984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 2*s - 3. Let q be t(11). Let b(r) = 23*r + 1. Let h be b(2). Let j = h - q. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 119223063 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -6*u + 1. Let h(o) = -3*o + 8*o - o + 7. Let y be h(-3). Let d(x) = -7*x + 1. What is y*d(f) + 6*s(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -35, -69, -133, -233, -375, -565, -809?\nAnswer: -1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*u - 9*u**3 + 5*u**3 - u + 18*u**2 - 11*u**3 + u**4 to o + z*u**2 + k*u**3 + c*u + g*u**4 and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 0.05  (b) 12  (c) 133  (d) 138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.773781 months in years?\nAnswer: 2.06448175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**3 + 8*b**2 + 2*b - 14. Let o be m(8). Sort -4, 0, o, -3 in descending order.\nAnswer: o, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.4, 3, -2\/3, 4, -3.86, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 6*y. Let o(m) be the second derivative of 5*m**3\/6 + 7*m - 2. What is i(o(u))?\nAnswer: 30*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 109 - 109. Let l(z) be the third derivative of -3\/2*z**3 + m*z - 5\/12*z**4 + 0 + 5*z**2. Find the first derivative of l(f) wrt f.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3 + -3)\/((16\/(-4))\/(-2)). Suppose q - 2*i = 59, -5*q + 2*i = -g*i - 327. Let u = 70 - q. Solve -u - 5 = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -21 > -706\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**2 - 4*k. Let r be i(3). Let t(f) = f + 3. Let c be t(7). What is the units digit of c\/(-6)*r - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 188 (base 10) in base 6?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 3*y**2 + 7*y. Let p(i) = 2*i**2 + 6*i + 1. Let j(u) = 4*p(u) - 3*s(u). Let o be j(4). Let t(d) = -d + 19. Is t(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (3360\/(-196))\/((-4)\/98) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33785, 3, 16 in decreasing order.\nAnswer: 33785, 16, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the second derivative of 0*m**2 - 10\/21*m**3 - 2*m + 1\/35*m**5 + 1 + 4\/21*m**4. Factor s(v).\nAnswer: 4*v*(v - 1)*(v + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 288136 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 179822 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/18 and -38\/693?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8193, -8230, -8281, -8334, -8377, -8398?\nAnswer: -8385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4433315 (base 6) to base 16.\nAnswer: 364af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:04 PM and 12:11 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 4*x**2 + 16*x + 6. Let n be b(-6). Suppose 0 = y - 6 - n. What is the highest common divisor of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from afffafffaffffa. Give prob of sequence aaff.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -41*f**5 + 73*f**3*n**2 + 19680*f**2 - n**2 wrt f.\nAnswer: -2460*f**2 + 438*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/d**(-7))\/d**0)\/(d**(-2\/3))**(-2\/21))\/((d*d**(2\/17))\/(d**(1\/6)\/d)*(d**(-1\/2))**(11\/2)) assuming d is positive.\nAnswer: d**(37423\/4284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7886 = -2*j + 2*y, -j - 10*y + 3955 = -15*y. List the prime factors of j.\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(350) - sqrt(350)*-3)*-5 - sqrt(350))\/sqrt(7) - (0 + (sqrt(200) - sqrt(200)*2)\/sqrt(4)).\nAnswer: -100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 687\/(-458)*(11\/3 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k. Let w(a) = -180*a**2 + 3*a + 6. What is n(w(x))?\nAnswer: -180*x**2 + 3*x + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x - x = -896. Does 127 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 140 and 18632565.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 5*o - 34. What are the prime factors of b(15)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4956861 - 382428.72\nAnswer: -5339289.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -9*f - 7 - 9*f + 5*f. Let w(r) = 6*r + 3. Let z(i) = i**2 + 12*i + 2. Let c be z(-11). Calculate c*w(l) - 4*q(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -145298.1482 - 0.4.\nAnswer: -145298.5482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 215*l**2 - 6 - 214*l**2)*(-3*l - l + 2*l)*(0 + 3 - 2)*(1 - 2 + 2) to the form a*l + m + c*l**2 + f*l**3 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-3\/7)*b)\/(b**(-2\/19)*b))**39\/(b**(-5)\/(b*b**10\/b))**39 assuming b is positive.\nAnswer: b**(76128\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 5, o: 11}. What is prob of sequence oo?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -776\/3 + 259. What is the second smallest value in 1\/4, y, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (45\/81*6)\/((-2)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 - 0. Suppose 0*t + y = 3*t. Let n(x) = 4 - 2 - 2*x - t. Let i(b) = 3*b + 2. Give 5*i(s) + 8*n(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z + 4. Let n be b(-2). Suppose -5*r + 4*f + n = 3, -3*r - 11 = -5*f. Find the second derivative of -d**2 + 5*d**2 - r*d - 7*d - 5*d wrt d.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*a**5 + 172*a**4 - 65184*a**3 + 4306060*a**2 - 88094050*a + 83853000 = 0. Calculate a.\nAnswer: -252, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + (27 + 3 - 26).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 3*q**3 - 16*q**2 - 45*q + 135. Let w be g(7). What is the greatest common divisor of w and 6513?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3281*v + 3320*v + 88959000. What is v rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g = 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n**3 - 10*n**3 - 9*n**3 - 11*n**3 - 13*n**3.\nAnswer: -42*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.04 and -19374.\nAnswer: -19374.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -97 - 48 - z + 59 - 62 - 38 as t + y*z and give t.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x = 30 - 0. Let d be 12\/4 + -1 + 10. Suppose -x*l - d = -3*h, 4*l - 4*h = -5*h - 13. Which is the biggest value?  (a) l  (b) -0.5  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 969 - 66 = -51*x - 402 + 234 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*q - 3*q + 2*q**2 + 7*q as w*q + x + p*q**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-30)*(189 + -192). What is f in -b - 4\/5*f**2 + f = 0?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 - ((-6 - (18 + -34)) + -15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1728\/(-81))\/(2\/3).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 365002 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-190)\/57*(-36)\/(-10). Let h be (-1 - 1)\/((-6)\/s). Let p = 22 + -6. Put 0, p, h, 2 in descending order.\nAnswer: p, 2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/28554 and 31\/66626.\nAnswer: 199878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 894018224*v**6 + 13429*v**2 - 3202.\nAnswer: 107282186880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxyx when four letters picked without replacement from {x: 9, y: 3}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.418002 millilitres to litres.\nAnswer: 0.008418002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (24\/(-30))\/((-1)\/5). Suppose -3*i = -3*a - 3, 0 = 2*a - 7*a + 2*i + h. Let c be (3 - 15)\/(1 - a). Solve 4*n = 4 - c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 127 + 4?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -32761, -65488, -98195, -130888, -163573, -196256?\n\"Answer: -b**3 + 16*b**2 - 32768*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 13) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n - 3 = 5*u, -4*n + 9 = -636*u + 641*u for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 11343 = g - 558, i - 2973 = -g. What is the greatest common factor of i and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/(8\/15*(-15)\/(-20)). Which is greater: b or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 755137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2958416 is divided by 211309.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 26 = 4*q, 7*j + 5*q + 45 = 2*j. Is -10 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 0 + (-1*sqrt(363) + 0 + (1*sqrt(363))**2*3)*-4 + ((-5 + sqrt(363)*1)**2 - ((1*sqrt(363) + sqrt(363))*3)**2).\nAnswer: -17041 - 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -33 (base 8) in base 5?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8*12\/(-288)*-1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 0.03, -2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.4  (b) -0.047  (c) -2  (d) -4  (e) -5  (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 AM and 7:16 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -115, -2, -10, -139 in ascending order.\nAnswer: -139, -115, -10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2606 is divided by 81?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*i**2*z**4 - 568*i**2*z**3 + i**2 + 1048*i*z wrt z.\nAnswer: -48*i**2*z**2 - 3408*i**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((((-968)\/(-1980))\/(-11))\/(2\/10))\/(12\/198).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((12\/(-15))\/(-2))\/((-2)\/10*(-176)\/(-4752))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 139629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -157*t**2 + 3 + 79*t**2 + 9*t - 4 + 79*t**2 to u*t + i*t**2 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (65*n - 31*n + 61*n)*(0*n + 0*n - 3*n**2).\nAnswer: -285*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w**2\/5 - 360858*w\/5 - 2165256\/5 = 0.\nAnswer: -6, 120292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 26522100 and 900?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*q, -2*y - q + 50 = y. Calculate the highest common divisor of 128 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/5, -4, 38695, -4\/5, -1.7 in increasing order.\nAnswer: -4, -1.7, -4\/5, 4\/5, 38695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**3 - q**2 - q - 7. Let l be a(-5). Let w = -90 + l. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.63052 less than -29361297?\nAnswer: -29361300.63052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-3\/8)\/(((c\/c**3)\/c)\/c))\/(c*c**(4\/3)*c**(3\/4)))**(1\/3))**(2\/17) assuming c is positive.\nAnswer: c**(13\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nd when two letters picked without replacement from reredsnrenddeeesgdn?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1710, -3396, -5082?\nAnswer: -6768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3600)*1)\/(sqrt(80)*-2 + sqrt(5)) - (-2 + -1*sqrt(5) + sqrt(5) + ((sqrt(5) + -2)*5)**2).\nAnswer: -223 + 688*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 2*k = 24. Let m be 2\/6 + (-11)\/k. Let h = 0.01 - -0.29. Sort m, h, -1.\nAnswer: -1, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in fifteen quarters of a minute?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 164193520 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -180 - -282. Is 17 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the third derivative of 0 + 0*p**5 + 0*p**6 - 5\/24*p**4 - 4*p**2 - 13\/210*p**7 + 0*p**3 + 0*p. What is the second derivative of b(t) wrt t?\nAnswer: -156*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*l - 6*l - 4*l - 5 - l in the form y + i*l and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(27)\/(sqrt(9) + sqrt(324) + sqrt(9) + sqrt(9)) + (-2*sqrt(147) - sqrt(147))**2.\nAnswer: sqrt(3)\/9 + 1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 165 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 + 9e9e?\nAnswer: 9e99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -105 (base 9) to base 7\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c - 1. Let s(v) = 13*v + 363. Let l(m) = 4*g(m) - s(m). Let d = 11 + -5. What is the least common multiple of d and l(-43)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 245 - -160. Suppose j = 6*j - x. Differentiate -59 + j - 26*g - 41 wrt g.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*s - 15*s + 12*s**2 + 29*s - 10*s**2 in the form m*s**2 + d*s + f and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**2 - 5*s + 5. Let d be u(-5). Find the second derivative of 8*n**5 - n**d + 2*n + 4*n wrt n.\nAnswer: 140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*f = 17*f - 74. Let a = -26 + f. Suppose -a*m = -6*m - 70. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 44 + (1088\/(-1120) - 43).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*z - 3*z + 2 - 5 - 4 wrt z.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*b + 5 + 7. Sort b, 4, -5.\nAnswer: -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -282 (base 15) to base 2.\nAnswer: -1000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(2 + 2*sqrt(76))*2 + 2)**2 + -5.\nAnswer: 2112*sqrt(19) + 44255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -4, -21 in descending order.\nAnswer: -4, -8, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -3b07 (base 12) to base 14\nAnswer: -267d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/2*(-245)\/(-70)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 168227 = 79*c - 57427. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -o**4\/2 + 6*o**3 + o**2\/2 - 6*o = 0?\nAnswer: -1, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*j - j - j + 0*j - j + 0*j + (-7 + 4 - 3)*(3*j - 6*j + j) - j - 6*j + 4*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19 + 19 - 2*k**2 + 4*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 99187044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*y**2 + 101796*y - 51461712.\nAnswer: -4*(y - 24933)*(y - 516)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 49*z**3 + z**2 - 13*z + 6. Let k(t) = -148*t**3 - 3*t**2 + 37*t - 17. Calculate -17*i(l) - 6*k(l).\nAnswer: 55*l**3 + l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 89 + -83. Suppose -6 = -4*n + u. What is the greatest common factor of n and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (-6*sqrt(76)*2 - (sqrt(76) + sqrt(76) + 2 + 5)) + -1*(4*(-1 + sqrt(76)) + 0 + 1*sqrt(76)))**2.\nAnswer: 532*sqrt(19) + 27485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -2*j**2 + 176*j + 553. Let a be y(91). Solve g + 1 + a = 3*r, -r - g = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4749253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67045 is divided by 430?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1217795210 to the power of 1\/3, to the nearest integer?\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2368 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001000 + 11?\nAnswer: -1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - 5*q - 5, -5*q - 33 + 8 = 0. Let g = 47 + -11. Let p be 8\/t - g\/(-10). What is the nearest to 1 in 5, p, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(3456)*-2 + sqrt(96)*6)\/((6*sqrt(132)*-2)\/sqrt(11)) + 3).\nAnswer: -6 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*h**3 - 20224*h**2 - 25195216*h + 933424704.\nAnswer: -4*(h - 36)*(h + 2546)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 17*h**2. Let t(p) = -p + 9. Calculate t(y(a)).\nAnswer: -17*a**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -17802087*t + 25085950 wrt t?\nAnswer: -17802087","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a**2 + 180752*a - 15392820 = 0. Calculate a.\nAnswer: -45273, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yygzyyyzyggzyyyyyyy. Give prob of sequence zzy.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the third derivative of -x**7\/70 - 2*x**5\/15 + 37*x**4\/4 + x**2 - 29. What is the second derivative of c(p) wrt p?\nAnswer: -36*p**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, e: 1, w: 6, k: 3, b: 1, l: 1}. Give prob of sequence lw.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -g + 2*g - 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 6*g**3 + 5*g. Let o(v) = 5*v**3 + 4*v. Let k = 22 + -38. Suppose t - 4 - 8 = 0. Let i = t + k. Calculate i*o(j) + 3*m(j).\nAnswer: -2*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -331 at most as big as 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1022207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**5 + 0*c + 0*c)*(2 - 3 - 1) + 2*c + 1142*c**4 + 1105*c**4 - 268*c**4 + 176*c**4 + 2*c**5.\nAnswer: 4*c**5 + 2155*c**4 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*s + 229 = -145. Let i(d) = 3 + 35*d - s + 31. Let t(j) = -108 - j + 108. Determine i(t(o)).\nAnswer: -35*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*b + 4*b + 4*b)*(-13*b + 9*b - 8*b).\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x - 4*x + 25 = 0. Let b = -2 - x. Find the second derivative of -2*f**4 - b*f**4 + 4*f**4 + 2*f wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 2*t - 3*z = 32, z = 3*t - 64. Let s be (48\/t)\/6*-5. Which is the biggest value?  (a) -0.2  (b) s  (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25*((-18)\/12)\/((-105)\/70)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -10*n**2 + 11*n. Let c(b) = -9*b**2 + 10*b. Let d(u) = -4*c(u) + 3*o(u). What is the second derivative of d(y) wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-83)\/(-249))\/(6*17\/27).\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -3, 80, 225, 468, 845?\n\"Answer: 6*m**3 - 5*m**2 + 56*m - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1952153017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 19 = 1. Let h = 8 + k. Suppose 0 = -3*g + 2*p - 5*p, 0 = 5*g - h*p - 40. Which is the third smallest value?  (a) 1  (b) g  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 25*a**2 + 19*a - 20. Let c be k(1). Suppose r - c = -3*u + 563, -4*u = 4*r - 796. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 113151354 divided by -1109327.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 - 6*g**2 - 5*g + 1. Let c(l) = -6*l**3 - 1. Suppose -5*o + 4*o = 1. Let z be c(o). Suppose 0*b = b + z. What is a(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-9 - -736 - 3)*1\/(-2). Let c = -318 - r. What is the lowest common multiple of 12 and c?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -2*o + 5*z, 159*o - 154*o = -3*z - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -217351.83 times -1\nAnswer: 217351.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 19 + 6 - n**2 + 10 - 17 + 5*n. What is the units digit of o(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes after 7:31 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 0  (b) 41  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 65 and 382615.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*w**6 - 2207125*w**5 + 3*w**2 - 5639*w - 13.\nAnswer: -240*w**3 - 132427500*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -0*w - 60. Let q be (-832)\/w - (-2)\/5. Suppose 0 = 2*s - d - 4*d - 14, 3*s + 3*d = q. What is the remainder when 35 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + u - 1 = -5*n, u + 1 = -3*n. Suppose -3*t = -4*h - 5, u*t = -2*h - 0 - 6. Is -3 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -12*i + 375. Let p be z(30). What is the fourth smallest value in -2\/3, -2, p, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 134965?\nAnswer: 5, 26993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 4*y - 14. Let n be p(4). Suppose m + n*m - 10 = -4*v, 5*m = -v + 11. Let g(h) = 2*h**2 - 1. Let j(w) = -w**3. Calculate v*g(a) - 2*j(a).\nAnswer: 2*a**3 + 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.3 - -1.8. Let h = b + -1.1. Put 0, h, 10 in decreasing order.\nAnswer: 10, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 150 = 3*x, -2*q - 78 = 3*x + 72. Let l = x - -119. Is 21 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 26.3 from 51307716.\nAnswer: 51307689.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -v - 4. Let t(l) = -l**2 + 4*l + 3. Let y be t(v). What is the first derivative of 60 - j - 65 + y*j wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 162293040 divided by -1560510\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**3\/4 + 373*h**2\/2 - 34968*h + 69192.\nAnswer: -(h - 372)**2*(h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 2*v. Let b = -315 + 404. Let w(d) = -b*d**2 + 0*d + 91*d**2 + 10*d. What is w(r(m))?\nAnswer: 8*m**2 + 20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*f - p, -4*f - 2*p = -p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 80406593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -37012 minus 1854609?\nAnswer: -1891621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b = -3*o + 3, b + 3*o + 2*o - 11 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 2*m. Let s(g) = -11*g**2 - 3*g - 3. Let p(n) = -122*n**2 - 34*n - 34. Let o(u) = -6*p(u) + 68*s(u). What is o(t(k))?\nAnswer: -64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 2*u - 6. Let g be i(2). Which is smaller: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-24)\/(-4) + -5 + 2. Let k be 3\/(36\/39)*(d + 1). Let b = 80 + k. Calculate the highest common factor of b and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18 - 17.5. Let w = 2.1 - 0.1. Let n = w - -3. Put n, 2, u in increasing order.\nAnswer: u, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93*j - 55*j + 49*j + 2678382 = 0. What is j rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 2*g - 12. Let z(k) = k**2 - 4*k - 1. Let s be z(g). Let h = -59 + 55. Sort h, s, -3 in decreasing order.\nAnswer: s, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 163026313*l**2 + l - 349592329?\nAnswer: 326052626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -1, 395\/784 in descending order.\nAnswer: 395\/784, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 41 + -103203010?\nAnswer: -103202525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.78 - -49.68. Round n to the nearest integer.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/24296402 and 35\/2622.\nAnswer: 1676451738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 + 2*n**5 + (n**3 - n**2 + n**2)*(2*n**2 - 3*n**2 + 2*n**2) - 9*n**4 + 7*n**5 + 9*n**4 + 5*n**5 + 94 - 86 + 10*n**5.\nAnswer: 25*n**5 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 2*a + 3*a. Suppose 216 = 2*c - j - 5*j, 0 = 4*c + 5*j - 381. What is the remainder when c\/12*a\/3 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -435*q + 265*q + 170 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:38 PM and 3:50 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 2 = -2*t, 3*t = -5*l - 6 - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -52 - -54. Let s be -21 + 20 + j\/1. Let i = 122 - 852\/7. What is the closest to s in 3, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-u + 3*u - 3*u)*(0 + 1 + 1) + 3*u + u - 5*u + u + 0 + 0)*(2*u + u + 0*u) as r + t*u**2 + s*u and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6576 + -6571. Solve 0 = k*m + 21 + 14 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -5*d + 40. Let f be r(8). Which is the nearest to f?  (a) -1\/11  (b) 1\/2  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10)\/(-4)*2*5\/20. Put -0.4, y, -1\/5 in ascending order.\nAnswer: -0.4, -1\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-6)\/9)\/((-6)\/18). Let u(y) = y - 1. Let q be u(m). Suppose g - 11 = q. Solve -4*x - 4*v = 4, -2*x + 4*v = -g + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-16)\/(-560))\/((-16)\/208) - (-4)\/5. Factor 0 + 27\/7*y - w*y**2.\nAnswer: -3*y*(y - 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 0.5, -4, 2\/7 in descending order.\nAnswer: 0.5, 2\/7, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from {p: 6, f: 7}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-53 - -43 - (-1 - 1)) + 8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -93038*i**2*l - 4*i*l - 4690857*l wrt i?\nAnswer: -186076*i*l - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -119992*w**4 - 12*w**3 - 5*w**2 + 881970*w - 61.\nAnswer: -1439904*w**2 - 72*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 - 20 - (-2 + 2) - (-5 + -29)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -112303033202310 - 0?\nAnswer: -112303033202310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange f**3 - 4*f**3 + f**3 + (f**2 - 2*f**2 + 3*f**2)*(-2*f + 0*f + 4*f) to q*f + d*f**3 + x*f**2 + s and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - (-14 + 1) - (5 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**3 + 86*i**2.\nAnswer: i**2*(i + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 60345 and 2.\nAnswer: 120690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-328)\/1476)\/(-2*1*-1)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes after 5:39 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (273 + 690 + 1886 + 374 - 75)*(36*r**2 - r**3 - 36*r**2).\nAnswer: -3148*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 141 - 3*h + 20 - 61 in the form s + f*h and give s.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 0*i + 907 = 4*i, 5*i = -2*q + 1805. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 4*u - 0*y - 158, 5*u - 4*y = 213. Suppose b + 14 = -4*j + 47, 0 = 2*b + 3*j - u. What is the remainder when b is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 6. Suppose 0 = -w*l - 8, 4*p = -l - 3*l + 28. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -151 - -3007189?\nAnswer: 3007038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2670704483.\nAnswer: 233, 11462251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 4\/3, 1202, 0, -1 in ascending order.\nAnswer: -1, 0, 4\/3, 4, 1202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + w - 118 = -6*t, -5*t + 2*w + 124 = 0. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, e: 7}. What is prob of picking 3 e and 1 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 231 + 4b0?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 349653999\/1232 + -3125024\/11. Let g = 1930\/7 + r. Let q = g + 1111\/48. Find the common denominator of q and 79\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 35844?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 449*x - 13*x**3 - 10*x**3 - 1128*x + 590*x as r*x**2 + q + h*x**3 + z*x and give h.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**3 + 7*d**2 - 10*d + 4. Calculate r(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 2*i - 25 = 3*c, 0 = -2*i - 2*c. Solve -6 = -3*l - 3*k, -i*k = -2*l - 2*l + 26 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 368938 a multiple of 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 17 - 30. Let q be (24 + t)\/(1 - 0). Calculate the highest common factor of 88 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from tttptpttpptpedp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -20643 and 570.\nAnswer: -11766510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 100645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the second derivative of k**7\/420 + k**6\/180 - k**5\/60 + k**4\/24 + 5*k**3\/6 + 6*k. Let v(w) be the second derivative of y(w). Calculate v(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/27?  (a) -2  (b) -2\/13  (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**3 + 6*a**2 + 9*a + 13. Determine s(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 2511*x + 454510. Determine h(-181).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 13*i**2 + 2 - 2 - 12*i**2 - 61*i**3. What is the remainder when z(-1) is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1409 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mdbc when four letters picked without replacement from gcogbdmdcgd?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 297 = -38*c - 1318 + 133 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 + -4818462?\nAnswer: -4818459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.351925 - 95.346825. Let j = -94 - n. What is j rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the first derivative of -7*z**5\/5 + 24*z - 19. What is the first derivative of i(f) wrt f?\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(2\/31)*z*z\/((z*z*z**(-7\/5)\/z)\/z)*z**(1\/2)\/(z\/z**(-10)))**(2\/39) assuming z is positive.\nAnswer: z**(-49\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 7, n: 3, l: 9}. What is prob of picking 1 n and 1 l?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24 - (-37 + 64)) + 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -76*u - u**2 + 133*u - 65*u + 3 + 3*u**2. Give n(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the third derivative of 7*x**5\/60 - 5*x**4\/24 + x**3\/3 - 29*x**2 - 1. Let o(v) = -13*v**2 + 10*v - 4. Determine 11*a(d) + 6*o(d).\nAnswer: -d**2 + 5*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -103, -229, -365, -517, -691, -893?\n\"Answer: -c**3 + c**2 - 122*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3168 = 1289*h - 1292*h. Let i = h + 9490\/9. Find the common denominator of i and -49\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-20)\/(-15))\/4)\/(-4*42\/(-72))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*r + 5 - 8*r + 1 to a*r + t and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 27834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 81, 15, -95, -249, -447, -689, -975?\nAnswer: -1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4 and 371.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c + 8. Let h(t) = 30*t + 264. Let a(n) = -h(n) + 33*x(n). Let p(j) = -j**2 + 1150*j. Give a(p(r)).\nAnswer: -3*r**2 + 3450*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**2 - 6*r - 5. Let q be u(-5). Suppose -3*x + 5*x - 4 = q. Solve 3*p - 11 = -0*p - d, -x*p = -4*d + 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**3 + 2*d**2 - 5*d + 3. Let s(l) = -l**3 - l**2 + 2*l - 2. Calculate 2*o(z) + 5*s(z).\nAnswer: -3*z**3 - z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = j + 2. Let w be (4 - 59)*((-12)\/5)\/j. Let t = w + -27. Solve 5*s - v + 11 = 1, -3*s = -3*v - t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -2*z, -7 = 2*z + 5*v + 5. Let m be 34\/14 + (-8)\/(0 + z). Let j be (0 - -2)*(-2)\/(-4). Which is bigger: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*a**3 + 2*a**2 + 2*a**3 - 10*a**3 in the form w*a**2 + g*a**3 + j + b*a and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16851*i**3 - 206*i**2 + 206*i**2.\nAnswer: -16851*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -47 - -69. Let q = r - 22.00000038. Round q to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4235*i**4 - 2510*i**3*t + i**2*t + 32*i*t + 22*i + 4*t - 821 wrt i?\nAnswer: 50820*i**2 - 15060*i*t + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f - 6. Let o(h) = h - 7. Let l(g) = 5*i(g) - 4*o(g). Let j(s) = -s - 4. Let a be j(-7). Calculate l(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + 1)\/(((-150)\/6000)\/((-16)\/(-20)))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (18\/12)\/((-3)\/(-38)). Solve 31*i - 36 = z*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -302*l + 302*l + 89*l**2.\nAnswer: 89*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12*t**5 + 622*t**4 - 1301*t**3 + 105248177*t**2.\nAnswer: 720*t**2 + 14928*t - 7806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 3016*-5\nAnswer: -15080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -50*(-16)\/20*2\/4. Let f(u) = 8*u - 151. Let k be f(h). Solve -k*y + 12*y + 9 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 17*h**3. Let w be (0 + 39\/12)*8. Let v(t) = -4*t**3. Let c = -20 + 14. Let o = c + 12. Determine o*m(x) + w*v(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - 0. Differentiate -1 + 3*t - m*t + 2*t**4 - t with respect to t.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - r = -26, -78*v + 73*v - r = 38 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 2*a**3 - 2*a + 2. Let y be z(3). Let h = y + -24. What is the smallest common multiple of h and 16?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6.47*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 12) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 5*d - 5*u, -2*d - 214*u + 213*u + 5 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 2 a when four letters picked without replacement from aavavvaaavva.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 60338201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 67*d**3 - 249 + 41*d**3 - 179 + 45 wrt d?\nAnswer: 324*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46 = 6*r - 22 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -120 = -5*n - 0. What is the highest common factor of n and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 63\/(-18)*(-30)\/(-35).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22020011012 (base 4) in base 10?\nAnswer: -2654534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.97754071 and -22.3.\nAnswer: -23.27754071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -5969.3398 rounded to 0 decimal places?\nAnswer: -5969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-5)\/(((-1)\/(-2))\/((-15)\/50)). Let t(m) = -m**3 - 7*m**2 + 10. Let j be t(-7). Let w = j - 8. Solve 0 = q*r - 6, -2*z = 6*r - r - w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + 1*-14*-2. Let m = -13 - -15. Suppose m*n - h = n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 95516001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*j + 3*z - 20 = 42*j, 5*j = -5*z + 30. Which is the nearest to -1\/5?  (a) j  (b) -400  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}